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Weiping Zhang 
LECT ON CHERN-WEIL THEORY & WITTEN..(V4) [PDF ebook] 

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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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Language English ● Format PDF ● Pages 132 ● ISBN 9789812386588 ● File size 3.7 MB ● Publisher World Scientific Publishing Company ● City Singapore ● Country SG ● Published 2001 ● Downloadable 24 months ● Currency EUR ● ID 2445047 ● Copy protection Adobe DRM
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