LECT ON CHERN-WEIL THEORY & WITTEN..(V4)
| By: | Zhang Weiping |
| Publisher: | World Scientific Publishing |
| Print ISBN: | 9789810246853 |
| eText ISBN: | 9789812386588 |
| Edition: | 0 |
| Format: | Page Fidelity |
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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.