Availability: Lectures on Chern-Weil theory and Witten deformations

Lectures on Chern-Weil theory and Witten deformations:

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...

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Bibliographic Details
Main Author:	Zhang, Weiping 1964- (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore World Scientific Pub. Co. c2001
Series:	Nankai tracts in mathematics v. 4
Subjects:	Chern classes Index theorems Complexes Morse-Theorie Chern-Klasse Poincaré-Indexmethode
Links:	http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc
Summary:	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
Physical Description:	xi, 117 p
ISBN:	9789812386588

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spelling	Zhang, Weiping 1964- Verfasser aut Lectures on Chern-Weil theory and Witten deformations Weiping Zhang Singapore World Scientific Pub. Co. c2001 xi, 117 p txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 4 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 Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Chern-Klasse (DE-588)4306750-5 gnd rswk-swf Poincaré-Indexmethode (DE-588)4174969-8 gnd rswk-swf Poincaré-Indexmethode (DE-588)4174969-8 s 1\p DE-604 Morse-Theorie (DE-588)4197103-6 s 2\p DE-604 Chern-Klasse (DE-588)4306750-5 s 3\p DE-604 Erscheint auch als Druck-Ausgabe 9789810246853 Erscheint auch als Druck-Ausgabe 9810246854 Erscheint auch als Druck-Ausgabe 9810246862 (pbk) http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Zhang, Weiping 1964- Lectures on Chern-Weil theory and Witten deformations Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd Chern-Klasse (DE-588)4306750-5 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd
subject_GND	(DE-588)4197103-6 (DE-588)4306750-5 (DE-588)4174969-8
title	Lectures on Chern-Weil theory and Witten deformations
title_auth	Lectures on Chern-Weil theory and Witten deformations
title_exact_search	Lectures on Chern-Weil theory and Witten deformations
title_full	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_fullStr	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_full_unstemmed	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_short	Lectures on Chern-Weil theory and Witten deformations
title_sort	lectures on chern weil theory and witten deformations
topic	Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd Chern-Klasse (DE-588)4306750-5 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd
topic_facet	Chern classes Index theorems Complexes Morse-Theorie Chern-Klasse Poincaré-Indexmethode
url	http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc
work_keys_str_mv	AT zhangweiping lecturesonchernweiltheoryandwittendeformations

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