Lectures on Chern-Weil theory and Witten deformations
Weiping Zhang, Zhang Wei-Ping
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 André 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.
年:
2001
出版:
1st
出版社:
World Scientific
语言:
english
页:
131
ISBN 10:
9812386580
ISBN 13:
9789812386588
系列:
Nankai tracts in mathematics 4
文件:
DJVU, 554 KB
IPFS:
,
english, 2001