Lectures on Chern-Weil Theory and Witten Deformations: 4 - Brossura

Zhang, Weiping

 
9789810246860: Lectures on Chern-Weil Theory and Witten Deformations: 4

Sinossi

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

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Book by Zhang Weiping WeiPing Zhang

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9789810246853: Lectures on Chern-Weil Theory and Witten Deformations: 4

Edizione in evidenza

ISBN 10:  9810246854 ISBN 13:  9789810246853
Casa editrice: World Scientific Pub Co Inc, 2001
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