Details
Lectures On Chern-weil Theory And Witten Deformations
Nankai Tracts In Mathematics
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25,20 € |
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| Verlag: | World Scientific Publishing |
| Format: | |
| Veröffentl.: | 21.09.2001 |
| ISBN/EAN: | 9789814490627 |
| Sprache: | englisch |
| Anzahl Seiten: | 132 |
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Beschreibungen
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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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