Lectures on Chern-Weil Theory and Witten Deformations
Weiping Zhang
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 Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
Категорії:
Рік:
2001
Видання:
1st
Видавництво:
World Scientific
Мова:
english
Сторінки:
131
ISBN 10:
9810246862
ISBN 13:
9789810246860
Серії:
Nankai tracts in mathematics 4
Файл:
PDF, 4.59 MB
IPFS:
,
english, 2001