Lectures on Chern-Weil Theory and Witten Deformations

Weiping Zhang

ISBN 10: 9810246862 / ISBN 13: 9789810246860

Editore: World Scientific Publishing Company Sep 2001, 2001

Riguardo questo articolo

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.

Codice articolo 9789810246860

Dati bibliografici

• Titolo: Lectures on Chern-Weil Theory and Witten Deformations
• Editore: World Scientific Publishing Company Sep 2001
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 9810246862
• ISBN 13: 9789810246860
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 209 L x 150 A x 10 P (millimetri) 209 millimetri di larghezza per 150 millimetri di altezza per 10 millimetri di profondità
• Peso: 192 grammi

Descrizione articolo

Riassunto

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.

Product Description

Book by Zhang Weiping WeiPing Zhang