Lectures On Chern-weil Theory And Witten Deformations: 4 (Nankai Tracts in Mathematics) - Tapa blanda

Zhang, Weiping

 
9789810246860: Lectures On Chern-weil Theory And Witten Deformations: 4 (Nankai Tracts in Mathematics)

Sinopsis

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.

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Reseña del editor

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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.

Reseña del editor

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.

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Otras ediciones populares con el mismo título

9789810246853: Lectures On Chern-weil Theory And Witten Deformations: 4 (Nankai Tracts in Mathematics)

Edición Destacada

ISBN 10:  9810246854 ISBN 13:  9789810246853
Editorial: World Scientific Publishing Co P..., 2001
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