The index theorem and the heat equation method:
This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2001
|
| Series: | Nankai tracts in mathematics
v. 2 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods |
| Physical Description: | xix, 287 p. ill |
| ISBN: | 9789812810106 |
Staff View
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| author | Yu, Yanlin |
| author_facet | Yu, Yanlin |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636077 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812810106 |
| language | English |
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| physical | xix, 287 p. ill |
| 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 | Yu, Yanlin Verfasser aut The index theorem and the heat equation method Yanlin Yu Singapore World Scientific Pub. Co. c2001 xix, 287 p. ill txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 2 This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods Atiyah-Singer index theorem Heat equation Wärmeleitungsgleichung (DE-588)4188859-5 gnd rswk-swf Indextheorem (DE-588)4140055-0 gnd rswk-swf Indextheorem (DE-588)4140055-0 s Wärmeleitungsgleichung (DE-588)4188859-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810246105 Erscheint auch als Druck-Ausgabe 9810246102 (alk. paper) http://www.worldscientific.com/worldscibooks/10.1142/4691#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yu, Yanlin The index theorem and the heat equation method Atiyah-Singer index theorem Heat equation Wärmeleitungsgleichung (DE-588)4188859-5 gnd Indextheorem (DE-588)4140055-0 gnd |
| subject_GND | (DE-588)4188859-5 (DE-588)4140055-0 |
| title | The index theorem and the heat equation method |
| title_auth | The index theorem and the heat equation method |
| title_exact_search | The index theorem and the heat equation method |
| title_full | The index theorem and the heat equation method Yanlin Yu |
| title_fullStr | The index theorem and the heat equation method Yanlin Yu |
| title_full_unstemmed | The index theorem and the heat equation method Yanlin Yu |
| title_short | The index theorem and the heat equation method |
| title_sort | the index theorem and the heat equation method |
| topic | Atiyah-Singer index theorem Heat equation Wärmeleitungsgleichung (DE-588)4188859-5 gnd Indextheorem (DE-588)4140055-0 gnd |
| topic_facet | Atiyah-Singer index theorem Heat equation Wärmeleitungsgleichung Indextheorem |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4691#t=toc |
| work_keys_str_mv | AT yuyanlin theindextheoremandtheheatequationmethod |