Chern–Weil theory

In mathematics, Chern–Weil theory computes topological invariants of vector bundles and principal bundles in terms of connections and curvature. That is, the theory forms a bridge between the areas of algebraic topology and differential geometry. It was developed in the late 1940s by Shiing-Shen Chern and André Weil, in the wake of proofs of the generalized Gauss–Bonnet theorem.

See Chern–Weil homomorphism for more detail.

This geometry-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Differential geometry Algebraic topology Geometry stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем сделать НИР Chern–Simons theory Chern–Weil homomorphism Look at other dictionaries: Chern-Weil theory — In mathematics, Chern Weil theory computes topological invariants of vector bundles and principal bundles in terms of connections and curvature. That is, the theory forms a bridge between the areas of algebraic topology and differential geometry …   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–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 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 Chern — Shiing Shen Chern in Oberwolfach, 1976 Shiing Shen Chern (Gwoyeu Romatzyh, chin. 陈省身, Chén Xǐngshēn, IPA (hochchin.) tʂʰən.ɕiŋ.ʂən; * 16. Oktober 1911 in Jiaxing; † 3. Dezemb …   Deutsch Wikipedia André Weil — Pour les articles homonymes, voir Weil. André Weil André Weil (source : AMS) Naissance 6 mai 1906 Paris …   Wikipédia en Français André Weil — Infobox Scientist name = André Weil image width = caption = birth date = birth date|1906|5|6 birth place = Nantes death date = death date and age|1998|8|6|1906|5|6 death place = field = Mathematics work institutions = Lehigh University… …   Wikipedia Shiing-Shen Chern — 220px Nacimiento 26 de octubre de 1911 Jiaxing, Zhejiang,China Fallecimiento 3 de diciembre de 2004 Tianjin,China …   Wikipedia Español Shiing-Shen Chern — in Oberwolfach, 1976 Shiing Shen Chern (Gwoyeu Romatzyh, chinesisch 陈省身 Chén Xǐngshēn, IPA (hochchinesisch) [tʂʰən.ɕiŋ.ʂən]; * 26. Oktober 1911 in Jiaxing; † …   Deutsch Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”