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(Ebook) Lectures on Chern-Weil Theory and Witten Deformations by Weiping Zhang ISBN 9789810246853, 9789810246860, 9810246854, 9810246862

  • SKU: EBN-984588
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Authors:Weiping Zhang
Pages:131 pages.
Year:2001
Editon:1st
Publisher:World Scientific
Language:english
File Size:4.59 MB
Format:pdf
ISBNS:9789810246853, 9789810246860, 9810246854, 9810246862
Categories: Ebooks

Product desciption

(Ebook) Lectures on Chern-Weil Theory and Witten Deformations by Weiping Zhang ISBN 9789810246853, 9789810246860, 9810246854, 9810246862

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