Lectures on Chern-Weil Theory and Witten Deformations

Weiping Zhang

ISBN 10: 9810246862 / ISBN 13: 9789810246860

Published by World Scientific Publishing Company Sep 2001, 2001

About this Item

Neuware - 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.

Seller Inventory # 9789810246860

Bibliographic Details

• Title: Lectures on Chern-Weil Theory and Witten Deformations
• Publisher: World Scientific Publishing Company Sep 2001
• Publication Date: 2001
• Language: English
• ISBN 10: 9810246862
• ISBN 13: 9789810246860
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 209W x 150H x 10D millimeters 209 millimeters width by 150 millimeters height by 10 millimeters depth
• Weight: 192 grams

About this title

Synopsis

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.

Synopsis

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.