Hidden Bibliographic Details
ISBN: | 9812386580 9789812386588 9789810246853 9810246854 9810246862
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Notes: | Includes bibliographical references and index. Print version record.
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Summary: | 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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Other form: | Print version: Zhang, Weiping. Lectures on Chern-Weil theory and Witten deformations. River Edge, N.J. : World Scientific, ©2001
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