Lectures on Chern-Weil Theory and Witten Deformations
| Autor: | Zhang, Weiping |
|---|---|
| EAN: | 9789810246860 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 132 |
| Produktart: | Kartoniert / Broschiert |
| Veröffentlichungsdatum: | 25.09.2001 |
| Schlagworte: | Mathematics |
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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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