Lectures on Chern-Weil theory and Witten deformations /
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| Author / Creator: | Zhang, Weiping, 1964- |
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| Imprint: | River Edge, N.J. : World Scientific, ©2001. |
| Description: | 1 online resource (xi, 117 pages). |
| Language: | English |
| Series: | Nankai tracts in mathematics ; 4 Nankai tracts in mathematics ; v. 4. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11218184 |
| 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 Andr#65533; 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 Poincar#65533;-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. |
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| Physical Description: | 1 online resource (xi, 117 pages). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9812386580 9789812386588 9789810246853 9810246854 9810246862 |