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Zhang Weiping Zhang
Lectures On Chern-weil Theory And Witten Deformations [PDF ebook]

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Cover of Zhang Weiping Zhang: Lectures On Chern-weil Theory And Witten Deformations (PDF)

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 Andre 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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

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Language English ● Format PDF ● Pages 132 ● ISBN 9789814490627 ● Publisher World Scientific Publishing Company ● Published 2001 ● Downloadable 3 times ● Currency EUR ● ID 8098344 ● Copy protection Adobe DRM

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