Chern-Weil theory

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.


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  • 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

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  • 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

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