mathematics, the Chern–Simons forms are certain secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors...
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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...
27 KB (3,591 words) - 12:48, 25 May 2025
from a 1974 paper written jointly with Jim Simons; and also gauge theory, Chern–Simons form, Chern-Simons field theory. CS theory now has great importance...
54 KB (6,146 words) - 17:14, 5 July 2025
hedge fund manager of all time". Simons developed the Chern–Simons form (with Shiing-Shen Chern), and contributed to the development of string theory...
64 KB (5,077 words) - 19:06, 16 June 2025
mathematics, ∞-Chern–Simons theory (not to be confused with infinite-dimensional Chern–Simons theory) is a generalized formulation of Chern–Simons theory from...
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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 theory...
4 KB (490 words) - 07:10, 12 July 2025
mathematical physics, four-dimensional Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory...
11 KB (1,480 words) - 06:32, 9 March 2025
related to the same topic. Chern–Weil homomorphism Chern class Chern–Simons form Chern–Simons theory Chern's conjecture (affine geometry) Pontryagin number...
13 KB (1,856 words) - 17:14, 17 June 2025
infinite-dimensional Chern–Simons theory (not to be confused with ∞-Chern–Simons theory) is a generalization of Chern–Simons theory to manifolds with...
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Bianchi identities Einstein tensor Einstein field equations General theory of relativity Chern-Simons form Curvature of Riemannian manifolds Gauge theory...
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string theory, Chern–Simons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes are...
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Kähler manifold (redirect from Kähler form)
whose curvature form ω is positive (since ω is then a Kähler form that represents the first Chern class of L in H2(X, Z)). The Kähler form ω that satisfies...
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Beauville, A. (1983). "Variétés Kähleriennes dont la première classe de Chern est nulle". J. Differential Geom. 18 (4): 755–782. Feix, B. (2001). "Hyperkähler...
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Pontryagin class (redirect from Pontryagin form)
quaternionic Pontryagin class, for vector bundles with quaternion structure. Chern–Simons form Hirzebruch signature theorem Novikov, S. P. (1964). "Homotopically...
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theory of general relativity predicts that a sufficiently compact mass will form a black hole. The boundary of no escape is called the event horizon. A black...
168 KB (18,965 words) - 15:12, 10 July 2025
Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification Dirac string p-form electrodynamics...
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manifold: the first Chern class of the holomorphic tangent bundle must be zero. The necessity of this condition was previously known by Chern–Weil theory. Beyond...
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example, a telegraph message, led him unexpectedly to a formula with the same form as Boltzmann's. In an article in the August 2003 issue of Scientific American...
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content consists only of gauge fields Yang–Mills theory Proca theory Chern–Simons theory Spinor and scalar Yukawa model Scalar and gauge Scalar electrodynamics...
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De Rham cohomology Obstruction theory Characteristic class Chern class Chern–Simons form Pontryagin class Pontryagin number Stiefel–Whitney class Poincaré...
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classical physics. Symplectic geometry studies spaces equipped with a symplectic form, a mathematical tool that can be used to compute area in two-dimensional...
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{\displaystyle c_{i}(X)} is the i-th Chern class of the tangent bundle. Since K X {\displaystyle K_{X}} is trivial, its first Chern class c 1 ( K X ) = − c 1 (...
34 KB (5,246 words) - 02:53, 6 March 2025
conjectured that compact complex manifolds of Kähler type with vanishing first Chern class always admit Ricci-flat Kähler metrics, and Shing-Tung Yau (1978)...
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and this remained consistent with the simplified proof later given by Jim Simons in 1962. Although not a single example of such a manifold had yet been discovered...
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subject in question has no particular relation to superluminal travel (a form of technobabble, akin to positronic brain). Lorentz-violating neutrino oscillations...
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Maldacena, it is closely related to another quantum field theory called Chern–Simons theory. The latter theory was popularized by Witten in the late 1980s...
62 KB (7,721 words) - 23:47, 11 June 2025
exceptional simple Lie groups. F4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is the trivial group...
8 KB (1,007 words) - 10:38, 3 July 2025
here are closed, that this momentum can only take on discrete values of the form x ˙ = n / R {\displaystyle {\dot {x}}=n/R} for some integer n {\displaystyle...
18 KB (2,442 words) - 11:48, 12 July 2025
In theoretical physics, p-form electrodynamics is a generalization of Maxwell's theory of electromagnetism. We have a 1-form A {\displaystyle \mathbf {A}...
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Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups G2, F4, E6, E7, E8 ADE classification Dirac string P-form electrodynamics...
5 KB (430 words) - 18:55, 8 December 2023