Lectures on Chern-Weil Theory and Witten Deformations

Zhang, Weiping

ISBN 10: 9810246862 / ISBN 13: 9789810246860

Verlag: World Scientific Pub Co Inc, 2002

132 pages. 8.50x6.00x0.25 inches. In Stock. Bestandsnummer des Verkäufers __9810246862

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.

Bibliografische Details

Titel: Lectures on Chern-Weil Theory and Witten ...
Verlag: World Scientific Pub Co Inc
Erscheinungsdatum: 2002
Einband: Paperback
Zustand: Brand New