Lectures on Chern-Weil Theory and Witten Deformations
ISBN: 9789810246860
出版社: World Scientific Pub Co Inc
出版年: 2001-9
页数: 132
定价: 187.00元
装帧: Pap
内容简介
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.