Lectures on Chern-Weil Theory and Witten Deformations. This item is unavailable.
Language: English
Published by World Scientific Publishing Company, 2001
- Softcover
- Used
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- Title
- Lectures on Chern-Weil Theory and Witten Deformations
- Author
- Zhang, Weiping
- Publisher
- World Scientific Publishing Company
- Publication year
- 2001
- Condition
- As New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 9810246862
- ISBN 13
- 9789810246860
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" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.