Lectures on Chern-Weil Theory and Witten Deformations
Weiping Zhang, Zhang Wei-Ping
Based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics, this volume 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.
Categories:
Year:
2002
Edition:
1st
Publisher:
World Scientific Publishing Company
Language:
english
Pages:
110
ISBN 10:
9810246854
ISBN 13:
9789810246853
File:
PDF, 2.70 MB
IPFS:
,
english, 2002