Lectures on Chern-Weil Theory and Witten Deformations (Paperback) (ISBN-13: 9789810246860)

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.

Author: Weiping Zhang
ISBN-10: 9810246862
ISBN-13: 9789810246860
Publisher: World Scientific Publishing Company
Language: English
Published: 09/25/2001
Pages: 132
Format: Paperback
Weight: 0.43lbs
Size: 8.41h x 6.22w x 0.18d