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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2001
|
| Series: | Nankai tracts in mathematics
v. 4 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| 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 |
Staff View
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| author | Zhang, Weiping 1964- |
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| author_sort | Zhang, Weiping 1964- |
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| dewey-full | 514.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.72 |
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| format | Electronic eBook |
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| id | DE-604.BV044633907 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812386588 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031879 |
| oclc_num | 881298675 |
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| owner | DE-92 |
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| physical | xi, 117 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Nankai tracts in mathematics |
| 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 |