Lectures on Chern-weil Theory and Witten Deformations

ZHANG, Weiping

ISBN 10: 9810246862 ISBN 13: 9789810246860

Verlag: World Scientific Publishing Co Pte Ltd, 2001

Sprache: Englisch

Zustand: Gebraucht Softcover

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A clean, tidy copy. Nankai Tracts in Mathematics, vol. 4. 118pp.

Bestandsnummer des Verk�ufers BOOKS320553I

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Bibliografische Details

Titel

Lectures on Chern-weil Theory and Witten Deformations

Verlag

World Scientific Publishing Co Pte Ltd

Erscheinungsjahr

2001

Sprache

Englisch

ISBN-10

9810246862

ISBN-13

9789810246860

Einband

Softcover

Zustand

Used - Very Good. VG paperback

Verk�uferkataloge

�ber 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 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.

Rese�a 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.

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