Lectures on Chern-Weil Theory and Witten Deformations

Zhang, Weiping

ISBN 10: 9810246862 / ISBN 13: 9789810246860

Verlag: World Scientific Publishing Company, 2001

Beschreibung

Bestandsnummer des Verkäufers 931897-n

Bibliografische Details

• Titel: Lectures on Chern-Weil Theory and Witten Deformations
• Verlag: World Scientific Publishing Company
• Erscheinungsjahr: 2001
• Sprache: Englisch
• ISBN-10: 9810246862
• ISBN-13: 9789810246860
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

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.