Lectures on Chern-Weil theory and Witten deformations Weiping Zhang. Nankai tracts in mathematics 4.

Zhang, Weiping:

ISBN 10: 9810246854 / ISBN 13: 9789810246853

Published by New York, World Scientific [2001]., 2001

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 ZHA 9789810246853 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2504307

Bibliographic Details

• Title: Lectures on Chern-Weil theory and Witten deformations Weiping Zhang. Nankai tracts in mathematics 4.
• Publisher: New York, World Scientific [2001].
• Publication Date: 2001
• Language: English
• ISBN 10: 9810246854
• ISBN 13: 9789810246853
• Binding: Hardcover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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

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.