• mathematics, the ChernSimons forms are certain secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors...
    5 KB (611 words) - 20:14, 30 December 2023
  • after mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the ChernSimons 3-form. In the ChernSimons theory, the action is proportional...
    27 KB (3,591 words) - 12:48, 25 May 2025
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    from a 1974 paper written jointly with Jim Simons; and also gauge theory, ChernSimons form, Chern-Simons field theory. CS theory now has great importance...
    54 KB (6,146 words) - 17:14, 5 July 2025
  • Thumbnail for Jim Simons
    hedge fund manager of all time". Simons developed the ChernSimons form (with Shiing-Shen Chern), and contributed to the development of string theory...
    64 KB (5,077 words) - 19:06, 16 June 2025
  • mathematics, ∞-ChernSimons theory (not to be confused with infinite-dimensional ChernSimons theory) is a generalized formulation of ChernSimons theory from...
    3 KB (260 words) - 18:26, 19 June 2025
  • ChernSimons theory, named after Shiing-Shen Chern and James Simons who first studied ChernSimons forms which appear in the action of ChernSimons theory...
    4 KB (490 words) - 07:10, 12 July 2025
  • mathematical physics, four-dimensional ChernSimons theory, also known as semi-holomorphic or semi-topological ChernSimons 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 ChernSimons form ChernSimons theory Chern's conjecture (affine geometry) Pontryagin number...
    13 KB (1,856 words) - 17:14, 17 June 2025
  • infinite-dimensional ChernSimons theory (not to be confused with ∞-ChernSimons theory) is a generalization of ChernSimons theory to manifolds with...
    3 KB (328 words) - 20:09, 19 June 2025
  • Bianchi identities Einstein tensor Einstein field equations General theory of relativity Chern-Simons form Curvature of Riemannian manifolds Gauge theory...
    5 KB (884 words) - 23:37, 25 February 2025
  • string theory, ChernSimons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes are...
    42 KB (7,508 words) - 13:07, 21 April 2025
  • 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...
    33 KB (4,739 words) - 20:31, 30 April 2025
  • Beauville, A. (1983). "Variétés Kähleriennes dont la première classe de Chern est nulle". J. Differential Geom. 18 (4): 755–782. Feix, B. (2001). "Hyperkähler...
    13 KB (1,682 words) - 19:43, 22 June 2025
  • quaternionic Pontryagin class, for vector bundles with quaternion structure. ChernSimons form Hirzebruch signature theorem Novikov, S. P. (1964). "Homotopically...
    10 KB (1,906 words) - 02:09, 12 April 2025
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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
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    Instantons ChernSimons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification Dirac string p-form electrodynamics...
    11 KB (1,206 words) - 06:13, 9 May 2025
  • 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...
    15 KB (1,883 words) - 10:39, 14 January 2025
  • 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...
    32 KB (3,976 words) - 07:08, 2 July 2025
  • content consists only of gauge fields Yang–Mills theory Proca theory ChernSimons theory Spinor and scalar Yukawa model Scalar and gauge Scalar electrodynamics...
    3 KB (276 words) - 18:02, 16 April 2025
  • De Rham cohomology Obstruction theory Characteristic class Chern class ChernSimons form Pontryagin class Pontryagin number Stiefel–Whitney class Poincaré...
    4 KB (311 words) - 18:20, 28 June 2025
  • classical physics. Symplectic geometry studies spaces equipped with a symplectic form, a mathematical tool that can be used to compute area in two-dimensional...
    8 KB (1,018 words) - 16:02, 25 April 2025
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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
  • Thumbnail for Calabi–Yau manifold
    conjectured that compact complex manifolds of Kähler type with vanishing first Chern class always admit Ricci-flat Kähler metrics, and Shing-Tung Yau (1978)...
    24 KB (3,303 words) - 13:00, 14 June 2025
  • 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...
    8 KB (938 words) - 20:35, 25 March 2025
  • subject in question has no particular relation to superluminal travel (a form of technobabble, akin to positronic brain). Lorentz-violating neutrino oscillations...
    30 KB (3,310 words) - 18:50, 12 June 2025
  • Maldacena, it is closely related to another quantum field theory called ChernSimons theory. The latter theory was popularized by Witten in the late 1980s...
    62 KB (7,721 words) - 23:47, 11 June 2025
  • Thumbnail for F4 (mathematics)
    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}...
    4 KB (544 words) - 22:15, 8 May 2025
  • Instantons ChernSimons 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