Lectures On Chern-weil Theory And Witten Deformations
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A01=Weiping Zhang
Author_Weiping Zhang
Berline-Vergne Localization
Bott Residue
Category=PBMP
Category=PBP
Category=PH
Chern-Weil
Duistermaat-Heckman
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eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Gauss-Bonnet-Chern
Kervaire Semi-Characteristic
Mathai-Quillen
Morse Theory
Poincare-Hopf
Witten Deformation
Product details
- ISBN 9789810246860
- Publication Date: 25 Sep 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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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.
