ENGLISH

Lectures on Chern-Weil Theory and Witten Deformations

By Weiping Zhang , Zhang Wei-Ping

Book information

Publisher
World Scientific
Year
2001
ISBN
9789810246853, 981-02-4685-4, 9810246862
Open Library ID
OL9195385M
Language
english
Format
PDF
Filesize
5 MB (4816106 bytes)
Series
Nankai tracts in mathematics 4
Edition
1st
Pages
131\131
Topic
Physics
Library
mexmat
Time added
2009-07-20 03:45:11

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 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.

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