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Chinese-American mathematician and poet
Shiing-Shen Chern (/tʃɜːrn/; Chinese: 陳省身; pinyin: Chén Xǐngshēn; October 26, 1911 – December 3, 2004) was a Chinese-born American mathematician. He made
Shiing-Shen_Chern
Topological quantum field theory
after mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the Chern–Simons 3-form. In the Chern–Simons theory, the action is proportional
Chern–Simons_theory
Characteristic classes of vector bundles
string theory, Chern–Simons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes are
Chern_class
Secondary characteristic classes of 3-manifolds
In mathematics, the Chern–Simons forms are certain secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons
Chern–Simons_form
International Congress of Mathematicians award
The Chern Medal is an international award recognizing outstanding lifelong achievement of the highest level in the field of mathematics. The prize is
Chern_Medal
Cohomology theory for complex manifolds
In complex geometry in mathematics, Bott–Chern cohomology is a cohomology theory for complex manifolds. It serves as a bridge between de Rham cohomology
Bott–Chern_cohomology
Topics referred to by the same term
Chern may refer to: Shiing-Shen Chern (1911–2004), Chinese-American mathematician Chern class, a type of characteristics class associated to complex vector
Chern_(disambiguation)
International Congress of Chinese Mathematicians prize
The Chern Prize in Mathematics was established in 2001 (25 years ago) (2001) in honor of Professor Shiing-Shen Chern. The Chern Prize is presented every
Chern_Prize_(ICCM)
Ties Euler characteristic of a closed even-dimensional Riemannian manifold to curvature
In mathematics, the Chern theorem (or the Chern–Gauss–Bonnet theorem after Shiing-Shen Chern, Carl Friedrich Gauss, and Pierre Ossian Bonnet) states that
Chern–Gauss–Bonnet_theorem
Complex three dimensional gauge theory
analogue of Chern–Simons theory, named after Shiing-Shen Chern and James Simons who first studied Chern–Simons forms which appear in the action of Chern–Simons
Six-dimensional holomorphic Chern–Simons theory
Six-dimensional_holomorphic_Chern–Simons_theory
Lattice generalizations of the fractional quantum Hall effect
Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since 1993 and
Fractional_Chern_insulator
Combination of higher category theory with Chern–Simons theory
mathematics, ∞-Chern–Simons theory (not to be confused with infinite-dimensional Chern–Simons theory) is a generalized formulation of Chern–Simons theory
∞-Chern–Simons_theory
Chern's conjecture for affinely flat manifolds was proposed by Shiing-Shen Chern in 1955 in the field of affine geometry. As of 2025, it remains an unsolved
Chern's conjecture (affine geometry)
Chern's_conjecture_(affine_geometry)
Gauge theory providing unifying formalism for integrable systems
mathematical physics, four-dimensional Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory
Four-dimensional Chern–Simons theory
Four-dimensional_Chern–Simons_theory
Mathematical theory
In mathematics, the Chern–Weil homomorphism is a basic construction in Chern–Weil theory that computes topological invariants of vector bundles and principal
Chern–Weil_homomorphism
Index of articles associated with the same name
Chern (Russian: Чернь) is the name of several inhabited localities in Russia. Urban localities Chern, Tula Oblast, a work settlement in Chernsky District
Chern,_Russia
Chern–Simons theory on infinite-dimensional manifolds
mathematics, infinite-dimensional Chern–Simons theory (not to be confused with ∞-Chern–Simons theory) is a generalization of Chern–Simons theory to manifolds
Infinite-dimensional Chern–Simons theory
Infinite-dimensional_Chern–Simons_theory
Richard Cherns is a Scottish musician, composer and music director. His work spans theatre, film and popular music, and he is best known for his involvement
Richard_Cherns
City in Chernivtsi Oblast, Ukraine
medieval accounts refer to what was then a Galicia–Volhynian fortress-city as Chern', or "the black city"; it is said to owe its name to the black color of
Chernivtsi
Riemannian manifold with SU(n) holonomy
conjectured that compact complex manifolds of Kähler type with vanishing first Chern class always admit Ricci-flat Kähler metrics, and Shing-Tung Yau (1978)
Calabi–Yau_manifold
American mathematician and billionaire (1938–2024)
hedge fund manager of all time". Simons developed the Chern–Simons form (with Shiing-Shen Chern), and contributed to the development of string theory
Jim_Simons
Combination of higher category theory with Chern–Weil theory
In mathematics, ∞-Chern–Weil theory is a generalized formulation of Chern–Weil theory from differential geometry using the formalism of higher category
∞-Chern–Weil_theory
Malaysian Buddhist monk
Chi Chern (Chinese: 繼程; pinyin: Jìchéng; Jyutping: Gai3 Cing4; Pe̍h-ōe-jī: Kè-thêng, birth name Zhōu Míngtiān, Chinese: 周明添; pinyin: Zhōu Míngtiān; Jyutping:
Chi_Chern
Ugandan Social Media influencer / blogger born 1995 in mbarara town
Chern's conjecture for hypersurfaces in spheres, unsolved as of 2018, is a conjecture proposed by Chern in the field of differential geometry. It originates
Chern's conjecture for hypersurfaces in spheres
Chern's_conjecture_for_hypersurfaces_in_spheres
Mathematical research institute in Tianjin, China
The Chern Institute of Mathematics (Chinese: 南开大学陈省身数学研究所; pinyin: Nánkāi Dàxué Chén Xǐngshēn Shùxué Yánjiūsuǒ) is a research institute at Nankai University
Chern Institute of Mathematics
Chern_Institute_of_Mathematics
American film producer
Jay Chern (Chinese: 陳鈺杰) is a Taiwanese-American film director, screenwriter and producer. His short film Thief (Xiao Tou) (2011) won a Best Short Film
Jay_Chern
holomorphic structure. This is called the Chern connection on E {\displaystyle E} . The curvature of the Chern connection is a (1, 1)-form. For details
Hermitian_connection
type with those Chern numbers. It remains a very difficult problem to describe these schemes explicitly, and there are few pairs of Chern numbers for which
Surface_of_general_type
Breakdown of parity at the quantum level
the answer h times the second Chern class of the gauge bundle over M × S 1 {\displaystyle M\times S^{1}} . This second Chern class may be any integer. In
Parity_anomaly
Compact astronomical body
Kac–Moody algebra Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups
Black_hole
Thai comedian
Chern-yim (born June 8, 1954 at Huai Yot District Trang Province) is a Thai comedian. He is best known as co-founder of famous comedian group Chern-yim
Ped_Chern-yim
Theoretical Physics
the topological Chern–Simons term in the bulk gravity theory. This holographic duality between boundary topological order and a bulk Chern–Simons theory
Ryu–Takayanagi_conjecture
American Catholic priest (born 1973)
Father James Nicholas Chern (born November 6, 1973) is a Roman Catholic priest in the Archdiocese of Newark, serving as the archdiocese's Director of
Jim_Chern
Characteristic class in algebraic topology
vector bundle can be defined by means of the theory of Chern classes, and is encountered where Chern classes exist — most notably in differential topology
Todd_class
Group in algebraic geometry
)\to H^{2}(V,{\mathcal {O}}_{V})\to \cdots .} The first arrow is the first Chern class on the Picard group c 1 : P i c ( V ) → H 2 ( V , Z ) , {\displaystyle
Néron–Severi_group
Theorem in differential geometry
three-dimensional digital space. The Chern theorem (after Shiing-Shen Chern 1945) is the 2n-dimensional generalization of GB (also see Chern–Weil homomorphism). The
Gauss–Bonnet_theorem
Branch of mathematics
+x_{n}^{m}).} The Chern character is useful in part because it facilitates the computation of the Chern class of a tensor product. The Chern character is used
K-theory
Partial differential equations whose solutions are instantons
A ] {\displaystyle F_{A}=dA+{\frac {1}{2}}[A,A]} vanishes. However, by Chern–Weil theory if the curvature F A {\displaystyle F_{A}} vanishes (that is
Yang–Mills_equations
Mathematical result in differential geometry
of some topological data). It includes many other theorems, such as the Chern–Gauss–Bonnet theorem and Riemann–Roch theorem, as special cases, and has
Atiyah–Singer_index_theorem
collective behaviors of the wavefunction, Chern number is the topological invariant of quantum Hall insulators. Chern number also identifies the topological
Photonic topological insulator
Photonic_topological_insulator
Short exact sequence of sheaves on projective space
{\mathcal {E}}''\to 0} . The Euler sequence can be used to compute the Chern classes of projective space. Recall that given a short exact sequence of
Euler_sequence
Conjecture in knot theory relating quantum invariants and hyperbolic geometry
(S^{3}\backslash K)+CS(S^{3}\backslash K)} , where C S {\displaystyle CS} is the Chern–Simons invariant of the frame field of the hyperbolic structure of K {\displaystyle
Volume_conjecture
Association of cohomology classes to principal bundles
Chern class, and the Pontryagin classes) were reflections of the classical linear groups and their maximal torus structure. What is more, the Chern class
Characteristic_class
General relativity in 2+1 dimensions
between Chern–Simons theory and gravity during the 1980s. During this period, Edward Witten argued that 2+1D topological gravity is equivalent to a Chern–Simons
(2+1)-dimensional topological gravity
(2+1)-dimensional_topological_gravity
Unsolved Singaporean murder case
List of major crimes in Singapore Her name was also spelt as Chen Lee Chern. "Big hunt on for the Queenstown gunman". New Nation. 1972-09-19. "Police
1972_Queenstown_shooting
Characteristic class for real vector bundles
{\displaystyle c_{2k}(E\otimes \mathbb {C} )} denotes the 2 k {\displaystyle 2k} -th Chern class of the complexification E ⊗ C = E ⊕ i E {\displaystyle E\otimes \mathbb
Pontryagin_class
forces with Havik and Mileena in attacking Orderrealm. Voiced by: Lina Chern (MK:D); Tara Strong (MKX); Kelly Hu (MK1); Grey DeLisle (Battle of the Realms)
Characters of the Mortal Kombat series
Characters_of_the_Mortal_Kombat_series
2022 double murder of autistic twin brothers in Singapore
in Singapore's Upper Bukit Timah, 11-year-old twin brothers Ethan Yap E Chern (Chinese: 叶育成; pinyin: Yè Yùchéng) and Aston Yap Kai Shern (Chinese: 叶凯胜;
Greenridge Crescent twin killings
Greenridge_Crescent_twin_killings
Unsolved problem in geometry
combination with rational coefficients of Chern classes of coherent sheaves on X. Voisin (2002) proved that the Chern classes of coherent sheaves give strictly
Hodge_conjecture
Country in West Asia
from the original on 26 September 2010. Retrieved 23 October 2008. Chen, Chern (8 August 2018). "Former Nazi Officers in the Near East: German Military
Syria
Austrian mathematician (1885–1962)
über Differentialgeometrie and later for his connection to Shiing-Shen Chern. He was a member of the Nazi Party and openly supported it. Blaschke was
Wilhelm_Blaschke
Fractal describing electrons in a magnetic field
and his team discovered that the butterfly's wings are characterized by Chern integers, which provide a way to calculate the Hall conductance in Hofstadter's
Hofstadter's_butterfly
Taiwanese civil engineer and academic
Chern Jenn-chuan (Chinese: 陳振川; pinyin: Chén Zhènchuān; born 28 July 1954) is a Taiwanese civil engineer and academic. He is a professor emeritus of civil
Chern_Jenn-chuan
Application of Lagrangian mechanics to field theories
insight, ranging from the Chern–Gauss–Bonnet theorem and the Riemann–Roch theorem to the Atiyah–Singer index theorem and Chern–Simons theory. In field theory
Lagrangian_(field_theory)
Topological bound state of an electron
the theory. A field-theoretic treatment of composite fermions through a Chern–Simons theory was developed by Ana María López and Eduardo Fradkin, and
Composite_fermion
hence a correspondence between two different theories, in this case between Chern–Simons theory and Gromov–Witten theory. The latter is known as the mathematical
Gopakumar–Vafa_duality
Branch of algebraic geometry
Grassmannian G r ( k , V ) {\displaystyle \mathbf {Gr} (k,V)} using the Chern classes of two natural vector bundles over G r ( k , V ) {\displaystyle
Schubert_calculus
Chinese mathematician
Chow–Rashevskii theorem Chern, S. S.; Tian, G.; Li, Peter, eds. (1996). A mathematician and his mathematical work: selected papers of S. S. Chern. World Scientific
Wei-Liang_Chow
Quadrennial mathematics conference
Medal (known before 2022 as the Nevanlinna Prize), the Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress
International Congress of Mathematicians
International_Congress_of_Mathematicians
Relation between sides of a right triangle
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Pythagorean_theorem
a Hermitian Yang–Mills connection (or Hermite–Einstein connection) is a Chern connection associated to an inner product on a holomorphic vector bundle
Hermitian Yang–Mills connection
Hermitian_Yang–Mills_connection
Theory with particles of spin more than two
except some specific toy models (such as the higher-spin extension of pure Chern–Simons, Jackiw–Teitelboim, selfdual (chiral) and Weyl gravity theories)
Higher-spin_theory
Generalizations of codimension-1 subvarieties of algebraic varieties
c_{1}:\operatorname {Pic} (X)\to \operatorname {Cl} (X),} known as the first Chern class. The first Chern class is injective if X is normal, and it is an isomorphism if
Divisor_(algebraic_geometry)
Study of vector bundles, principal bundles, and fibre bundles
to describe topological invariants, by relating quantities arising from Chern–Simons theory in three dimensions to the Jones polynomial, an invariant
Gauge_theory_(mathematics)
Mathematical technique for vector bundles
vector bundles, one often wishes to simplify computations, for example of Chern classes. Often computations are well understood for line bundles and for
Splitting_principle
Straight line segment that passes through the centre of a circle
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Diameter
American mathematician (born 1937)
Medals of Science by President Barack Obama. In 2022, he was awarded the Chern Medal for outstanding lifelong achievement in mathematics. Mazur, Barry;
Barry_Mazur
Perimeter of a circle or ellipse
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Circumference
Concept in geometry
In algebraic geometry, a localized Chern class is a variant of a Chern class, that is defined for a chain complex of vector bundles as opposed to a single
Localized_Chern_class
Mathematical invariant of a knot or link
of a given knot γ {\displaystyle \gamma } can be obtained by considering Chern–Simons theory on the three-sphere with gauge group S U ( 2 ) {\displaystyle
Jones_polynomial
Mathematical space with two coordinates
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Two-dimensional_space
Theorem in complex geometry
manifold, the Bott–Chern cohomology is isomorphic to the Dolbeault cohomology, but in general it contains more information. The Bott–Chern cohomology groups
Ddbar_lemma
French mathematician (1906-1998)
1090/s0002-9904-1948-09040-1. Archived (PDF) from the original on 9 October 2022. Chern, Shiing-shen (1950). "Review: Variétés abéliennes et courbes algébriques
André_Weil
Relationship between two lines that meet at a right angle
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Perpendicular
Effect in quantum mechanics where conductivity acquires quantized values
is similar to the quantum Hall effect. The integer here is equal to the Chern number which arises out of topological properties of the material band structure
Quantum_anomalous_Hall_effect
Generalization of vector bundles
{\displaystyle E} on a smooth variety X {\displaystyle X} over a field has Chern classes in the Chow ring of X {\displaystyle X} , c i ( E ) {\displaystyle
Coherent_sheaf
Theory in theoretical physics
Various calculations in topological string theory are closely related to Chern–Simons theory, Gromov–Witten invariants, mirror symmetry, geometric Langlands
Topological_string_theory
American theoretical physicist
of the discoverers of the AdS-CFT correspondence of superconformal (N=6) Chern-Simons theory in three dimensions to M-theory in A d S 4 × S 7 {\displaystyle
Daniel_L._Jafferis
Geometric model of the physical space
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Three-dimensional_space
American mathematician (born 1938)
also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner on exterior differential systems. He received
Phillip_Griffiths
American mathematician (1924–2021)
co-founded the Mathematical Sciences Research Institute (MSRI) with Shiing-Shen Chern and Calvin Moore. Singer was born on May 3, 1924, in Detroit, Michigan,
Isadore_Singer
Malaysian politician
Teoh Yee Chern (simplified Chinese: 张宇晨; traditional Chinese: 張宇晨; pinyin: Zhāng Yǔchén; born 1990) is a Malaysian politician who served as Member of
Teoh_Yee_Chern
American financier and investor
of trading after merger with Peter Thiel-backed SPAC". CNBC. Kang, Wan Chern (16 October 2023). "Singapore fintech MoneyHero tumbles in trading debut
Matt_Danzeisen
Public university in Tianjin, China
of the People's Republic of China Zhou Enlai, mathematician Shiing-Shen Chern and Nobel laureates Chen Ning Yang and Tsung-Dao Lee. Philosophy professor
Nankai_University
Taiwanese actor and musician (born 1986)
cancer, with her last words urging him to turn his life around. He then met Chern Hawyeu and Liao Chien-chih, who were interested in forming a band, through
Daniel_Hong
Method of drawing geometric objects
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Straightedge and compass construction
Straightedge_and_compass_construction
On the Euler characteristic of a holomorphic vector bundle on a compact complex manifold
Hirzebruch's theorem states that χ(X, E) is computable in terms of the Chern classes ck(E) of E, and the Todd classes td j ( X ) {\displaystyle \operatorname
Hirzebruch–Riemann–Roch theorem
Hirzebruch–Riemann–Roch_theorem
Manifold with Riemannian, complex and symplectic structure
decomposition can be shown to be independent of the Kähler metric by using Bott-Chern cohomology. Let H p , q ( X ) {\displaystyle H^{p,q}(X)} be the complex
Kähler_manifold
Mathematical concept
classified up to isomorphism by their Chern classes, which are integers: they lie in H2(CPn,Z) = Z. In fact, the first Chern classes of complex projective space
Complex_projective_space
Branch of algebraic topology
2 ∗ ( X , Q ) , {\displaystyle K^{0}(X)\to H^{2*}(X,\mathbb {Q} ),} the Chern character, such that K 0 ( X ) ⊗ Q → H 2 ∗ ( X , Q ) {\displaystyle K^{0}(X)\otimes
Topological_K-theory
Infinitely detailed mathematical structure
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Fractal
Taiwanese-American Internet entrepreneur (born 1978)
Traditional Chinese 陳士駿 Simplified Chinese 陈士骏 Transcriptions Standard Mandarin Hanyu Pinyin Chén Shìjùn Gwoyeu Romatzyh Chern Shyhjiunn Wade–Giles Ch'en Shih-chün
Steve_Chen
Mathematical invariance under transformations
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Symmetry
Chern class, and thus provides equivalent information; the advantage of the Segre class is that it generalizes to more general cones, while the Chern
Segre_class
forms are important because of the following: The alternatization of the Chern class of any factor of automorphy is a Riemann form. Conversely, given any
Riemann_form
Urban-type settlement in Tula Oblast, Russia
Chern (Russian: Чернь) is an urban locality (an urban-type settlement) in Chernsky District of Tula Oblast, Russia. Population: 6,405 (2010 census); 6
Chern,_Tula_Oblast
Branch of mathematics
Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens Jyeṣṭhadeva
Algebraic_geometry
Swedish theoretical physicist
quantum matter, including work on non-Hermitian systems and fractional Chern insulators. Wallenberg Scholar (2024) Göran Gustafsson Prize in Physics
Emil_J._Bergholtz
Superconformal quantum field theory
{\displaystyle AdS_{4}\times S^{7}} . The ABJM theory is also closely related to Chern–Simons theory, and it serves as a useful toy model for solving problems
ABJM superconformal field theory
ABJM_superconformal_field_theory
2023 video game
into a collaborative effort, with Stan Merezhko joining as programmer and Chern Fai as lead pixel artist. Later, writer Kate Gray contributed to worldbuilding
Moonstone_Island
CHERN
CHERN
CHERN
CHERN
Girl/Female
Australian, Dutch, Indonesian
Goddess
Boy/Male
English
Diminutives of any masculine or feminine name begining with Christ-, for example Christahel,...
Boy/Male
Hindu, Indian, Marathi, Telugu
Mirror
Female
Finnish
Estonian and Finnish pet form of Greek Hanna, ANU means "favor; grace."
Boy/Male
Arabic, Muslim
A Country; Region
Boy/Male
Hindu, Indian, Tamil, Telugu
Krishna Lord Krishna Father's Name
Boy/Male
Indian
King
Boy/Male
Italian American
The greatest.
Boy/Male
Hindu, Indian, Marathi
Omniscient
Boy/Male
British, English, German, Norse, Teutonic
Lord; A Variant of the Name Ifor
CHERN
CHERN
CHERN
CHERN
CHERN