Lectures On Chern-weil Theory And Witten Deformations

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.\n\nIt 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.Lectures On Chern-weil Theory And Witten Deformations is written by Zhang Weiping and published by World Scientific. ISBNs for Lectures On Chern-weil Theory And Witten Deformations are 9789812386588, 9812386580 and the print ISBNs are 9789810246853, 9810246854.