- Chern class
- Математика: класс Чжэня
Универсальный англо-русский словарь. Академик.ру. 2011.
Chern class
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Chern class — In mathematics, in particular in algebraic topology and differential geometry, the Chern classes are characteristic classes associated to complex vector bundles. Chern classes were introduced by Shiing Shen Chern (1946). Contents 1 Basic… … Wikipedia
Chern (disambiguation) — Chern may refer to: Shiing Shen Chern (1911–2004), a Chinese American mathematician Chern class, a type of characteristics class associated to complex vector bundles; named after Shiing Shen Chern Chern (urban type settlement), an urban type… … Wikipedia
Chern-Weil homomorphism — In mathematics, the Chern Weil homomorphism is a basic construction in the Chern Weil theory, relating for a smooth manifold M the curvature of M to the de Rham cohomology groups of M , i.e., geometry to topology. This theory of Shiing Shen Chern … Wikipedia
Shiing-Shen Chern — Chern redirects here. For other uses, see Chern (disambiguation). This is a Chinese name; the family name is 陳 (Chern). Shiing Shen Chern Traditional Chinese 陳省身 Simplified Chinese … Wikipedia
Chern–Simons theory — The Chern–Simons theory is a 3 dimensional topological quantum field theory of Schwarz type, introduced by Edward Witten. It is so named because its action is proportional to the integral of the Chern–Simons 3 form. In condensed matter physics,… … Wikipedia
Chern-Simons theory — The Chern Simons theory is a 3 dimensional topological quantum field theory of Schwarz type, developed by Shiing Shen Chern and James Harris Simons. In condensed matter physics, Chern Simons theory describes the topological orderin fractional… … Wikipedia
Chern–Weil homomorphism — In mathematics, the Chern–Weil homomorphism is a basic construction in the Chern–Weil theory, relating for a smooth manifold M the curvature of M to the de Rham cohomology groups of M, i.e., geometry to topology. This theory of Shiing Shen Chern… … Wikipedia
Chern-Simons form — In mathematics, the Chern Simons forms are certain secondary characteristic classes. They have been found to be of interest in gauge theory, and they (especially the 3 form) define the action of Chern Simons theory. The theory is named for Shiing … Wikipedia
Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… … Wikipedia
Todd class — In mathematics, the Todd class is a certain construction now considered a part of the theory in algebraic topology of characteristic classes. The Todd class of a vector bundle can be defined by means of the theory of Chern classes, and is… … Wikipedia
Pontryagin class — In mathematics, the Pontryagin classes are certain characteristic classes. The Pontryagin class lies in cohomology groups with index a multiple of four. It applies to real vector bundles. Definition Given a vector bundle E over M , its k th… … Wikipedia
