| Lectures on Chern-Weil Theory and Witten Deformations Contributor(s): Zhang, Weiping (Author) |
|
 |
ISBN: 9810246862 ISBN-13: 9789810246860 Publisher: World Scientific Publishing Company OUR PRICE: $26.60 Product Type: Paperback - Other Formats Published: September 2001 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Medical - Mathematics | Geometry - Differential |
| Dewey: 514.72 |
| LCCN: 2001046629 |
| Series: Nankai Tracts in Mathematics (Paperback) |
| Physical Information: 0.18" H x 6.22" W x 8.41" (0.43 lbs) 132 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 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 -Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. |