Lectures On Chern-weil Theory And Witten Deformations
Book Details
Format
Paperback / Softback
Book Series
Nankai Tracts in Mathematics
ISBN-10
9810246862
ISBN-13
9789810246860
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 25th, 2001
Print length
132 Pages
Weight
192 grams
Dimensions
15.10 x 21.60 x 0.70 cms
Product Classification:
Differential & Riemannian geometryDifferential and Riemannian geometryTopologyPhysics
Ksh 4,150.00
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Based on the notes of a graduate course on differential geometry, this volume contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as presenting the Morse inequalities based on deformations introduced by Edward Witten.
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.
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