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PULLBACK BUNDLE

  • Pullback bundle
  • Fiber bundle induced by a map of its base space

    mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B {\displaystyle

    Pullback bundle

    Pullback_bundle

  • Pullback
  • Process in mathematics

    (cohomology) The pullback bundle is an example that bridges the notion of a pullback as precomposition, and the notion of a pullback as a Cartesian square

    Pullback

    Pullback

  • Pullback (differential geometry)
  • Mathematical operation

    sections of the cotangent bundle) to the space of 1-forms on M {\displaystyle M} . This linear map is known as the pullback (by ϕ {\displaystyle \phi

    Pullback (differential geometry)

    Pullback_(differential_geometry)

  • Pullback (category theory)
  • Most general completion of a commutative square given two morphisms with same codomain

    In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit

    Pullback (category theory)

    Pullback_(category_theory)

  • Vector bundle
  • Mathematical parametrization of vector spaces by another space

    nature is the pullback bundle construction. Given a vector bundle E → Y and a continuous map f: X → Y one can "pull back" E to a vector bundle f*E over X

    Vector bundle

    Vector bundle

    Vector_bundle

  • Fiber bundle
  • Continuous surjection satisfying a local triviality condition

    bundle I-bundle Natural bundle Principal bundle Projective bundle Pullback bundle Quasifibration Universal bundle Vector bundle Wu–Yang dictionary Seifert

    Fiber bundle

    Fiber bundle

    Fiber_bundle

  • Section (fiber bundle)
  • Right inverse of a fiber bundle map

    Gauge theory (mathematics) Principal bundle Pullback bundle Vector bundle Husemöller, Dale (1994), Fibre Bundles, Springer Verlag, p. 12, ISBN 0-387-94087-1

    Section (fiber bundle)

    Section (fiber bundle)

    Section_(fiber_bundle)

  • Double tangent bundle
  • natural vector bundle isomorphism vl:(πTM)*TM→VTM from the pullback bundle of (TM,πTM,M) over πTM:TM→M onto the vertical tangent bundle V T M := Ker ⁡

    Double tangent bundle

    Double_tangent_bundle

  • Bundle map
  • notion of a pullback bundle. If πF:F→ N is a fiber bundle over N and f:M→ N is a continuous map, then the pullback of F by f is a fiber bundle f*F over M

    Bundle map

    Bundle_map

  • Connection (composite bundle)
  • if any. Then the pullback bundle Y h = h ∗ Y {\displaystyle Y^{h}=h^{*}Y} over X {\displaystyle X} is a subbundle of a fiber bundle Y → X {\displaystyle

    Connection (composite bundle)

    Connection_(composite_bundle)

  • Cotangent bundle
  • Vector bundle of cotangent spaces at every point in a manifold

    of manifolds induces a pullback sheaf ϕ ∗ T ∗ N {\displaystyle \phi ^{*}T^{*}N} on M. There is an induced map of vector bundles ϕ ∗ ( T ∗ N ) → T ∗ M {\displaystyle

    Cotangent bundle

    Cotangent_bundle

  • Universal bundle
  • over a classifying space BG, such that every bundle with the given structure group G over M is a pullback by means of a continuous map M → BG. When the

    Universal bundle

    Universal_bundle

  • Bundle (mathematics)
  • Generalization of a fiber bundle

    the pullback of p and π. The category of bundles over B is a subcategory of the slice category (C↓B) of objects over B, while the category of bundles without

    Bundle (mathematics)

    Bundle_(mathematics)

  • Connection (vector bundle)
  • Defines a notion of parallel transport on a bundle

    consider the pullback bundle γ ∗ E {\displaystyle \gamma ^{*}E} of E {\displaystyle E} by γ {\displaystyle \gamma } . This is a vector bundle over [ 0 ,

    Connection (vector bundle)

    Connection_(vector_bundle)

  • Ample line bundle
  • Concept in algebraic geometry

    modules#Operations). The pullback of a vector bundle is a vector bundle of the same rank. In particular, the pullback of a line bundle is a line bundle. (Briefly, the

    Ample line bundle

    Ample_line_bundle

  • Splitting principle
  • Mathematical technique for vector bundles

    injective, and the pullback bundle p ∗ ξ : p ∗ E → Y {\displaystyle p^{*}\xi \colon p^{*}E\rightarrow Y} breaks up as a direct sum of line bundles: p ∗ ( E )

    Splitting principle

    Splitting_principle

  • Principal bundle
  • Fiber bundle whose fibers are group torsors

    property that any G principal bundle over a paracompact manifold B is isomorphic to a pullback of the principal bundle EG → BG. In fact, more is true

    Principal bundle

    Principal_bundle

  • Normal bundle
  • Concept in mathematics

    tangent bundle on M {\displaystyle M} to N {\displaystyle N} (properly, the pullback i ∗ T M {\displaystyle i^{*}\mathrm {T} M} of the tangent bundle on M

    Normal bundle

    Normal_bundle

  • Tautological bundle
  • Vector bundle existing over a Grassmannian

    compact space) is a pullback of the tautological bundle; this is to say a Grassmannian is a classifying space for vector bundles. Because of this, the

    Tautological bundle

    Tautological_bundle

  • Ehresmann connection
  • Differential geometry construct on fiber bundles

    to γ generates a horizontal vector field in the total space of the pullback bundle γ*E. By the Picard–Lindelöf theorem, this vector field is integrable

    Ehresmann connection

    Ehresmann_connection

  • G-structure on a manifold
  • Structure group sub-bundle on a tangent frame bundle

    a principal H-bundle over B/H. If σ : X → B/H is a section, then the pullback bundle BH = σ−1B is a reduction of B. Every vector bundle of dimension n

    G-structure on a manifold

    G-structure_on_a_manifold

  • Nef line bundle
  • Concept in algebraic geometry

    semi-ample line bundle L on X whose class in N 1 ( X ) {\displaystyle N^{1}(X)} is in the interior of F (for example, take L to be the pullback to X of any

    Nef line bundle

    Nef_line_bundle

  • Determinant line bundle
  • Construction for vector bundles

    for complex line bundles over topological spaces with the homotopy type of a CW complex is a group isomorphism. The pullback bundle commutes with the

    Determinant line bundle

    Determinant_line_bundle

  • Pushforward (differential)
  • Linear approximation of smooth maps on tangent spaces

    {\displaystyle \operatorname {d} \!\varphi } induces a bundle map from T M {\displaystyle TM} to the pullback bundle φ ∗ T N {\displaystyle \varphi ^{*}TN} over

    Pushforward (differential)

    Pushforward (differential)

    Pushforward_(differential)

  • Stiefel–Whitney class
  • Set of topological invariants

    vector bundle E → X {\displaystyle E\to X} and map f : X ′ → X {\displaystyle f\colon X'\to X} , where f ∗ E {\displaystyle f^{*}E} denotes the pullback vector

    Stiefel–Whitney class

    Stiefel–Whitney_class

  • Circle bundle
  • Principal fiber bundle

    bundle is a fiber bundle where the fiber is the circle S 1 {\displaystyle S^{1}} . Oriented circle bundles are also known as principal U(1)-bundles,

    Circle bundle

    Circle_bundle

  • Line bundle
  • Vector bundle of rank 1

    to P r {\displaystyle \mathbf {P} ^{r}} , and the pullback of the dual of the tautological bundle under this map is L {\displaystyle L} . In this way

    Line bundle

    Line_bundle

  • Vector-valued differential form
  • where φ*E is the pullback bundle of E by φ. The formula is given just as in the ordinary case. For any E-valued p-form ω on N the pullback φ*ω is given by

    Vector-valued differential form

    Vector-valued_differential_form

  • Affine connection
  • Construct allowing differentiation of tangent vector fields of manifolds

    condition means that X is parallel with respect to the pullback connection on the pullback bundle γ∗TM. However, in a local trivialization it is a first-order

    Affine connection

    Affine connection

    Affine_connection

  • Connection (fibred manifold)
  • Operation on fibered manifolds

    vector bundles over Y: where TY and TX are the tangent bundles of Y, respectively, VY is the vertical tangent bundle of Y, and Y ×X TX is the pullback bundle

    Connection (fibred manifold)

    Connection_(fibred_manifold)

  • Pull back (disambiguation)
  • Topics referred to by the same term

    geometry Pullback (category theory), a term in category theory Pullback attractor, an aspect of a random dynamical system Pullback bundle, the fiber bundle induced

    Pull back (disambiguation)

    Pull_back_(disambiguation)

  • Connection (principal bundle)
  • Concept in mathematics

    transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. A principal G-connection on a principal G-bundle P {\displaystyle

    Connection (principal bundle)

    Connection_(principal_bundle)

  • Levi-Civita connection
  • Affine connection on the tangent bundle of a manifold

    Formally, D {\displaystyle D} is the pullback connection γ ∗ ∇ {\displaystyle \gamma ^{*}\nabla } on the pullback bundle γ ∗ T M {\displaystyle \gamma ^{*}TM}

    Levi-Civita connection

    Levi-Civita connection

    Levi-Civita_connection

  • Solder form
  • Mathematical construct of fiber bundles

    vector bundles θ : TM → o*VE from the tangent bundle of M to the pullback of the vertical bundle of E along the distinguished section, where the pullback bundle

    Solder form

    Solder form

    Solder_form

  • Unit tangent bundle
  • bundle of a Riemannian manifold (M, g), denoted by T1M, UT(M), UTM, or SM is the unit sphere bundle for the tangent bundle T(M). It is a fiber bundle

    Unit tangent bundle

    Unit_tangent_bundle

  • Coherent sheaf
  • Generalization of vector bundles

    pullbacks of coherent sheaves are coherent if X {\displaystyle X} is locally Noetherian. An important special case is the pullback of a vector bundle

    Coherent sheaf

    Coherent_sheaf

  • Parallel transport
  • System of moving vectors in differential geometry

    that X {\displaystyle X} is parallel with respect to the pullback connection on the pullback bundle ⁠ γ ∗ T M {\displaystyle \gamma ^{*}TM} ⁠. However, in

    Parallel transport

    Parallel transport

    Parallel_transport

  • Bundle metric
  • \phi :\pi ^{-1}(U)\to U\times \mathbb {R} ^{n}} : the bundle metric can be taken as the pullback of the inner product of a metric on R n {\displaystyle

    Bundle metric

    Bundle_metric

  • Dual abelian variety
  • of families of degree 0 line bundles parametrised by T and to each k-morphism f: T → T' the mapping induced by the pullback with f, is representable. The

    Dual abelian variety

    Dual_abelian_variety

  • Chern class
  • Characteristic classes of vector bundles

    M to the classifying space whose pullbacks are the same bundle V, the maps must be homotopic. Therefore, the pullback by either f or g of any universal

    Chern class

    Chern_class

  • Microbundle
  • Generalization of the concept of vector bundle

    vector bundle, the pullback microbundle of its underlying microbundle is precisely the underlying microbundle of the standard pullback bundle. Given an

    Microbundle

    Microbundle

  • Projective bundle
  • Fiber bundle whose fibers are projective spaces

    bundle on P(E). Moreover, this O(-1) is a universal bundle in the sense that when a line bundle L gives a factorization f = p ∘ g, L is the pullback of

    Projective bundle

    Projective_bundle

  • Stable vector bundle
  • tensor products, pullbacks, etc. Let X be a smooth projective variety of dimension n, H its hyperplane section. A slope of a vector bundle (or, more generally

    Stable vector bundle

    Stable_vector_bundle

  • Differential form
  • Expression that may be integrated over a region

    of the cotangent bundle T∗N of N. Using ∗ to denote a dual map, the dual to the differential of f is (df)∗ : T∗N → T∗M. The pullback of ω may be defined

    Differential form

    Differential_form

  • Jet bundle
  • Construction in differential topology

    differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to

    Jet bundle

    Jet_bundle

  • Classifying space
  • Quotient of a weakly contractible space by a free action

    the property that any G principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle E G → B G {\displaystyle EG\to BG}

    Classifying space

    Classifying_space

  • Divisor (algebraic geometry)
  • Generalizations of codimension-1 subvarieties of algebraic varieties

    pullback of the corresponding line bundle, however, is defined.) If φ is flat, then pullback of Weil divisors is defined. In this case, the pullback of

    Divisor (algebraic geometry)

    Divisor_(algebraic_geometry)

  • Maurer–Cartan form
  • Mathematical concept

    homogeneous space, such that θU is the pullback of the Maurer–Cartan form along some section of the tautological bundle. This is a consequence of the existence

    Maurer–Cartan form

    Maurer–Cartan_form

  • Kosmann lift
  • embedding, then Z | Q {\displaystyle Z\vert _{Q}\,} is a section of the pullback bundle i Q ∗ ( T E ) → Q {\displaystyle i_{Q}^{\ast }(TE)\to Q\,} , where

    Kosmann lift

    Kosmann_lift

  • Chow group
  • Analogs of homology groups for algebraic varieties

    morphism Z → X {\displaystyle Z\to X} , and the second homomorphism is pullback with respect to the flat morphism X − Z → X {\displaystyle X-Z\to X} .

    Chow group

    Chow_group

  • Seesaw theorem
  • closed. Moreover if this set is the whole of T then L is the pullback of a line bundle on T. Mumford (2008, section 10) also gave a more precise version

    Seesaw theorem

    Seesaw_theorem

  • Gysin homomorphism
  • Long exact sequence

    morphism and i': X' = X ×Y Y' → Y' the induced map. Let N be the pullback of the normal bundle of i to X'. Then the refined Gysin homomorphism i! refers to

    Gysin homomorphism

    Gysin_homomorphism

  • Seiberg–Witten flow
  • Gradient flow of the Seiberg–Witten action functional

    bundle T M {\displaystyle TM} (hence so that T M ≅ f ∗ γ ~ R 4 {\displaystyle TM\cong f^{*}{\widetilde {\gamma }}_{\mathbb {R} }^{4}} is the pullback

    Seiberg–Witten flow

    Seiberg–Witten flow

    Seiberg–Witten_flow

  • Cotangent space
  • Dual space to the tangent space in differential geometry

    form a new differentiable manifold of twice the dimension, the cotangent bundle of the manifold. The tangent space and the cotangent space at a point are

    Cotangent space

    Cotangent_space

  • Regular Show
  • American animated sitcom

    released, along with other themed merchandise, such as "80's Bobbleheads," "Pullback Custom Cruisers" and "Wrestling Buddies". There have been many graphic

    Regular Show

    Regular_Show

  • Complex projective space
  • Mathematical concept

    classes, every complex line bundle L → X {\displaystyle L\to X} can be represented as a pullback of the universal line bundle on C P ∞ {\displaystyle \mathbf

    Complex projective space

    Complex projective space

    Complex_projective_space

  • Moduli space
  • Geometric space whose points represent algebro-geometric objects of some fixed kind

    any family of algebro-geometric objects T over any base space B is the pullback of U along a unique map B → M. A fine moduli space is a space M which is

    Moduli space

    Moduli_space

  • Characteristic class
  • Association of cohomology classes to principal bundles

    each principal bundle of a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is "twisted" and

    Characteristic class

    Characteristic_class

  • Tautological one-form
  • Canonical differential form

    the tautological one-form is a special 1-form defined on the cotangent bundle T ∗ Q {\displaystyle T^{*}Q} of a manifold Q . {\displaystyle Q.} In physics

    Tautological one-form

    Tautological_one-form

  • Fibration
  • Concept in algebraic topology

    The notion of a fibration generalizes the notion of a fiber bundle and plays an important role in algebraic topology, a branch of mathematics. Fibrations

    Fibration

    Fibration

  • Stack (mathematics)
  • Generalisation of a sheaf; a fibered category that admits effective descent

    that this is a fibered category follows because one can take pullbacks of vector bundles over continuous maps of topological spaces, and the condition

    Stack (mathematics)

    Stack_(mathematics)

  • Normal cone (algebraic geometry)
  • Scheme in algebraic geometry

    normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. The normal cone CXY or

    Normal cone (algebraic geometry)

    Normal_cone_(algebraic_geometry)

  • Connection form
  • Math/physics concept

    principal G-bundle P→M gives rise to a collection of connection forms on M. Suppose that e : M → P is a local section of P. Then the pullback of ω along

    Connection form

    Connection_form

  • Immersion (mathematics)
  • Differentiable function whose derivative is everywhere injective

    parallelizable, the pullback of its tangent bundle to M is trivial; since this pullback is the direct sum of the (intrinsically defined) tangent bundle on M, TM

    Immersion (mathematics)

    Immersion (mathematics)

    Immersion_(mathematics)

  • Fibred category
  • Concept in category theory

    X to another topological space Y is associated the pullback functor taking bundles on Y to bundles on X. Fibred categories formalise the system consisting

    Fibred category

    Fibred_category

  • D-module
  • Module over a sheaf of differential operators

    finite rank). D-modules on different algebraic varieties are connected by pullback and pushforward functors comparable to the ones for coherent sheaves. For

    D-module

    D-module

  • Bitensor
  • Tensorial object depending on two points in a manifold

    p r i ∗ {\displaystyle \mathrm {pr} _{i}^{*}} denotes the pullback of the respective bundles. In coordinate notation, a bitensor T {\displaystyle T} with

    Bitensor

    Bitensor

  • Valuation (geometry)
  • most important one is the product of two smooth valuations. Together with pullback and pushforward, this operation extends to valuations on manifolds. Let

    Valuation (geometry)

    Valuation_(geometry)

  • Lie groupoid
  • Internal groupoid in the category of smooth manifolds

    {\displaystyle E} is transitive, and arises from the frame bundle F r ( E ) → M {\displaystyle Fr(E)\to M} ; pullback groupoids, jet groupoids and tangent groupoids

    Lie groupoid

    Lie_groupoid

  • Symplectic manifold
  • Type of manifold in differential geometry

    configurations of a system is modeled as a manifold, and this manifold's cotangent bundle describes the phase space of the system. Symplectic manifolds arise from

    Symplectic manifold

    Symplectic_manifold

  • Symplectic vector space
  • Mathematical concept

    → W is called a symplectic map if the pullback preserves the symplectic form, i.e. f∗ρ = ω, where the pullback form is defined by (f∗ρ)(u, v) = ρ(f(u)

    Symplectic vector space

    Symplectic_vector_space

  • Fundamental groupoid
  • special case, a bundle of (abelian) groups on X is a local system valued in the category of (abelian) groups. This is to say that a bundle of groups on X

    Fundamental groupoid

    Fundamental_groupoid

  • Differentiable manifold
  • Manifold upon which it is possible to perform calculus

    Rn is a homeomorphism onto an open set in Rn, and such that Ck|U is the pullback of the sheaf of k-times continuously differentiable functions on Rn. In

    Differentiable manifold

    Differentiable manifold

    Differentiable_manifold

  • Ambient construction
  • = ω2 h~ The metric is an ambient extension: i* h~ = h, where i* is the pullback along the natural inclusion. The metric is Ricci flat: Ric(h~) = 0. Suppose

    Ambient construction

    Ambient_construction

  • Picard group
  • Mathematical group occurring in algebraic geometry and the theory of complex manifolds

    pullback. We say an L in Pic X / S ⁡ ( T ) {\displaystyle \operatorname {Pic} _{X/S}(T)} has degree r if for any geometric point s → T the pullback s

    Picard group

    Picard_group

  • Sigma model
  • Field theory of a point particle confined to move on a fixed manifold

    most generic definition writes the Lagrangian as the metric trace of the pullback of the metric tensor on a Riemannian manifold. For ϕ : M → Φ {\displaystyle

    Sigma model

    Sigma_model

  • Abelian variety
  • Projective variety that is also an algebraic group

    to double-duality for abelian varieties and for which the pullback of the Poincaré bundle along the associated graph morphism is ample (so it is analogous

    Abelian variety

    Abelian variety

    Abelian_variety

  • Classifying space for SU(n)
  • \operatorname {BSU} (n)} . The isomorphism is given by pullback. A particular application are principal SU(2)-bundles. There is a canonical inclusion of complex oriented

    Classifying space for SU(n)

    Classifying_space_for_SU(n)

  • Functor represented by a scheme
  • topology, where each principal G-bundle over a space S is (up to natural isomorphisms) the pullback of the universal bundle E G → B G {\displaystyle EG\to

    Functor represented by a scheme

    Functor_represented_by_a_scheme

  • Convexity (algebraic geometry)
  • convex. A variety X {\displaystyle X} is called convex if the pullback of the tangent bundle to a stable rational curve f : C → X {\displaystyle f:C\to X}

    Convexity (algebraic geometry)

    Convexity_(algebraic_geometry)

  • Thom space
  • Topological space associated to a vector bundle

    and differential topology is a topological space associated to a vector bundle, over any paracompact space. One way to construct this space is as follows

    Thom space

    Thom_space

  • Darboux frame
  • Natural moving frame in differential geometry of surfaces

    because the invariant forms (ωi,ωji) pullback along φ, and the structural equations are preserved under this pullback. Consequently, the resulting system

    Darboux frame

    Darboux_frame

  • Christoffel symbols
  • Array of numbers describing a metric connection

    called a pullback because it "pulls back" the gradient on R n {\displaystyle \mathbb {R} ^{n}} to a gradient on M {\displaystyle M} . The pullback is independent

    Christoffel symbols

    Christoffel_symbols

  • Lie algebroid
  • Infinitesimal version of Lie groupoid

    T M A → M ′ {\displaystyle f^{!}A:=TM'\times _{TM}A\to M'} the pullback vector bundle, and ρ f ! A : f ! A → T M ′ {\displaystyle \rho _{f^{!}A}:f^{!}A\to

    Lie algebroid

    Lie_algebroid

  • Moving frame
  • Generalization of an ordered basis of a vector space

    is a section of the pullback of the tautological bundle to M. Intrinsically a moving frame can be defined on a principal bundle P over a manifold. In

    Moving frame

    Moving frame

    Moving_frame

  • List of differential geometry topics
  • bundle Cotangent space Cotangent bundle Tensor Tensor bundle Vector field Tensor field Differential form Exterior derivative Lie derivative pullback (differential

    List of differential geometry topics

    List_of_differential_geometry_topics

  • Glossary of algebraic topology
  • Mathematics glossary

    spectrum of X. homotopy pullback A homotopy pullback is a special case of a homotopy limit that is a homotopically-correct pullback. homotopy quotient If

    Glossary of algebraic topology

    Glossary_of_algebraic_topology

  • Complex-oriented cohomology theory
  • \quad R=\pi _{*}E} , let f = m ∗ ( t ) {\displaystyle f=m^{*}(t)} be the pullback of t along m. It lives in E ∗ ( C P ∞ × C P ∞ ) = lim ← ⁡ E ∗ ( C P n ×

    Complex-oriented cohomology theory

    Complex-oriented_cohomology_theory

  • Metric tensor
  • Structure defining distance on a manifold

    technique to visualize the metric tensor More precisely, the integrand is the pullback of this differential to the curve. In several formulations of classical

    Metric tensor

    Metric_tensor

  • Elliptic surface
  • Mathematical concept

    deg(L) = χ(X,OX) − 2χ(S,OS). The canonical bundle formula implies that KX is Q-linearly equivalent to the pullback of some Q-divisor on S; it is essential

    Elliptic surface

    Elliptic_surface

  • Foliation
  • In mathematics, a partition of a manifold into submanifolds

    Haefliger structure – Generalization of a foliation closed under taking pullbacks. Lamination – Partitioned topological space Reeb foliation. Taut foliation –

    Foliation

    Foliation

    Foliation

  • Classifying space for SO(n)
  • \operatorname {BSO} (n)} . The isomorphism is given by pullback. A particular application are principal SO(2)-bundles. There is a canonical inclusion of real oriented

    Classifying space for SO(n)

    Classifying_space_for_SO(n)

  • Blowing up
  • Type of geometric transformation

    incorporates some or all of E {\displaystyle E} ; it is essentially the pullback of V {\displaystyle V} in cohomology. To pursue blow-up in its greatest

    Blowing up

    Blowing up

    Blowing_up

  • Cohomology
  • Algebraic structure used in topology

    many applications. At a basic level, this has to do with functions and pullbacks in geometric situations: given spaces X {\displaystyle X} and Y {\displaystyle

    Cohomology

    Cohomology

    Cohomology

  • BRST quantization
  • Formulation to quantize gauge field theories in physics

    gauge theory. Only in the late 1970s, when QFT was reformulated in fiber bundle language for application to problems in the topology of low-dimensional

    BRST quantization

    BRST_quantization

  • Fourier–Mukai transform
  • D(X×Y). Most natural functors, including basic ones like pushforwards and pullbacks, are of this type. These kinds of functors were introduced by Mukai (1981)

    Fourier–Mukai transform

    Fourier–Mukai_transform

  • Cartan's equivalence method
  • Differential geometry technique

    respective cotangent bundles (i.e., are coframes). The question is whether there is a local diffeomorphism φ:M→N such that the pullback of the coframe on

    Cartan's equivalence method

    Cartan's_equivalence_method

  • Cartan connection
  • Generalization of affine connections

    let (Q,α) be the principal G-bundle with connection, and (P,η) the corresponding reduction to H with η equal to the pullback of α. Let V a representation

    Cartan connection

    Cartan_connection

  • Descent (mathematics)
  • Mathematical concept that extends the intuitive idea of gluing in topology

    equalizer) of two copies of the projection p. The bundles on the Xij that we must control are Vi and Vj, the pullbacks to the fiber of V via the two different projection

    Descent (mathematics)

    Descent_(mathematics)

  • Tetrad formalism
  • Approach to general relativity

    general relativity that generalizes the choice of basis for the tangent bundle from a coordinate basis to the less restrictive choice of a local basis

    Tetrad formalism

    Tetrad_formalism

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  • Omer
  • Boy/Male

    American, Arabic, Australian, French, Hebrew, Latin

    Omer

    Eloquent or Bundle of Grain; First Son; Long Living

    Omer

  • Balon
  • Surname or Lastname

    English

    Balon

    English : from Old French balon ‘bundle’, ‘roll’, ‘pack’, hence a nickname for a small, rotund man or possibly a metonymic occupational name for a carrier of goods and merchandise.French (Bâlon) : generally regarded as a habitational name from Baalons in the Ardennes, it may however simply be from balon ‘ball’, ‘roll’ (see 1) or a derivative of Bal.

    Balon

  • Truss
  • Surname or Lastname

    English

    Truss

    English : occupational nickname for a peddler, from Old French trousse ‘bundle’, ‘pack’.Ukrainian : nickname from trus ‘rabbit’, typically applied to someone thought to be a coward.

    Truss

  • Dicker
  • Surname or Lastname

    English (southwest)

    Dicker

    English (southwest) : occupational name for a digger of ditches or a builder of dikes, or a topographic name for someone who lived by a ditch or dike, from an agent derivative of Middle English diche, dike (see Dyke).English : regional name from an area of East Sussex, near Hellingly, called ‘the Dicker’ (hence also the hamlets of Upper and Lower Dicker), from Middle English dyker unit of ten (Latin decuria, from decem ‘ten’); the reason for the place being so named is not clear. It has been suggested that the reference is to a bundle of iron rods, in which sense dicras appears in Domesday Book. Such a bundle could have been the rent for property in this iron-working area. Surname forms such as atte dicker occur in the surrounding region in the 13th and 14th centuries.German and Jewish (Ashkenazic) : variant of Dick 2, from an inflected form.North German : variant of Low German Dieker, a topographic or an occupational name for someone who lived or worked at a dike (see Dieck).Americanized spelling of French Decaire.

    Dicker

  • Durapa
  • Boy/Male

    Indian

    Durapa

    Bundle of Joy

    Durapa

  • Packard
  • Surname or Lastname

    English

    Packard

    English : from Middle English pa(c)k ‘pack’, ‘bundle’ + the Anglo-Norman French pejorative suffix -ard, hence a derogatory occupational name for a peddler.English : pejorative derivative of the Middle English personal name Pack.English : from a Norman personal name, Pachard, Baghard, composed of the Germanic elements pac, bag ‘fight’ + hard ‘hardy’, ‘brave’, ‘strong’.Probably an Americanized spelling of German Packert, Päckert, from Germanic personal names formed with a word meaning ‘battle’ or ‘to fight’; or a variant of Packer 2 (with excrescent -t).

    Packard

  • Pollack
  • Boy/Male

    British, English

    Pollack

    Crown

    Pollack

  • Sheaff
  • Surname or Lastname

    English (Kent)

    Sheaff

    English (Kent) : from Middle English shefe ‘sheaf’, ‘bundle’ (Old English scēaf), hence possibly a metonymic occupational name for a harvest worker, or for someone who paid or collected tithes, from the same term in the sense ‘tenth’ (or other proportion of produce paid as a tithe).Jacob Sheafe (d. 1658) was one of the founds of Boston MA. He is buried in the King’s Chapel Burying Ground there.

    Sheaff

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Online names & meanings

  • Rupang
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu

    Rupang

    Beautiful

  • Rayisth
  • Boy/Male

    Hindu, Indian

    Rayisth

    Very Swift; Lord Brahma

  • ÁSMUNDR
  • Male

    Norse

    ÁSMUNDR

    Old Norse name composed of the elements �ss "god, divinity," and mundr "protection," hence "divine protection."

  • Shivang
  • Boy/Male

    Hindu

    Shivang

    A portion of Lord Shiv

  • Pranal | ப்ராநல
  • Girl/Female

    Tamil

    Pranal | ப்ராநல

    God

  • Esharvir
  • Boy/Male

    Sikh

    Esharvir

    Gods warrior, Victorious almighty God

  • BÀRTOLO
  • Male

    Italian

    BÀRTOLO

    Short form of Italian Bartolomeo, BÀRTOLO means "son of Talmai."

  • Thakurjeet
  • Boy/Male

    Sikh

    Thakurjeet

    One who has won the Lord masters Love

  • Zoreed
  • Girl/Female

    Sikh

    Zoreed

    One who meets

  • Danuta
  • Girl/Female

    Australian, Danish, German, Hebrew, Polish

    Danuta

    God has Judged; Gift of God; Female Version of Daniel

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Other words and meanings similar to

PULLBACK BUNDLE

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PULLBACK BUNDLE

  • Sailfish
  • n.

    The quillback.

  • Pellack
  • n.

    A porpoise.

  • Pollock
  • n.

    A marine gadoid fish (Pollachius carbonarius), native both of the European and American coasts. It is allied to the cod, and like it is salted and dried. In England it is called coalfish, lob, podley, podling, pollack, etc.

  • Bundled
  • imp. & p. p.

    of Bundle

  • Truss
  • n.

    A bundle; a package; as, a truss of grass.

  • Tibrie
  • n.

    The pollack.

  • Skimback
  • n.

    The quillback.

  • Pullback
  • n.

    That which holds back, or causes to recede; a drawback; a hindrance.

  • Quillback
  • n.

    An American fresh-water fish (Ictiobus, / Carpiodes, cyprinus); -- called also carp sucker, sailfish, spearfish, and skimback.

  • Whiffing
  • n.

    A mode of fishing with a hand line for pollack, mackerel, and the like.

  • Bundle
  • n.

    A number of things bound together, as by a cord or envelope, into a mass or package convenient for handling or conveyance; a loose package; a roll; as, a bundle of straw or of paper; a bundle of old clothes.

  • Pollack
  • n.

    A marine gadoid food fish of Europe (Pollachius virens). Called also greenfish, greenling, lait, leet, lob, lythe, and whiting pollack.

  • Unbundle
  • v. t.

    To release, as from a bundle; to disclose.

  • Wad
  • n.

    A little mass, tuft, or bundle, as of hay or tow.

  • Triadelphous
  • a.

    Having stamens joined by filaments into three bundles. See Illust. under Adelphous.

  • Pollack
  • n.

    The American pollock; the coalfish.

  • Vinculum
  • n.

    A band or bundle of fibers; a fraenum.

  • Lythe
  • n.

    The European pollack; -- called also laith, and leet.

  • Pullback
  • n.

    The iron hook fixed to a casement to pull it shut, or to hold it party open at a fixed point.

  • Bundle
  • v. t.

    To tie or bind in a bundle or roll.