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Atiyah-Singer index theorem : an introduction /
This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Hindustan Book Agency,
[2013]
|
| Colección: | Texts and readings in mathematics ;
69. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn998594928 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 170802s2013 ii a ob 001 0 eng d | ||
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| 019 | |a 999481579 | ||
| 020 | |a 9789386279606 |q (electronic bk.) | ||
| 020 | |a 9386279606 |q (electronic bk.) | ||
| 020 | |z 9789380250540 | ||
| 020 | |z 9380250541 | ||
| 024 | 7 | |a 10.1007/978-93-86279-60-6 |2 doi | |
| 029 | 1 | |a AU@ |b 000060678357 | |
| 035 | |a (OCoLC)998594928 |z (OCoLC)999481579 | ||
| 050 | 4 | |a QA614.92 |b .M854 2013eb | |
| 082 | 0 | 4 | |a 514.7/4 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Mukherjee, Amiya, |e author. | |
| 245 | 1 | 0 | |a Atiyah-Singer index theorem : |b an introduction / |c Amiya Mukherjee. |
| 264 | 1 | |a New Delhi : |b Hindustan Book Agency, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (xii, 267 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Texts and readings in mathematics ; |v 69 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. K-theory -- 2. Fredholm operators and Atiyah-Jänich theorem -- 3. Bott periodicity and Thom isomorphism -- 4. Pseudo-differential operators -- 5. Characteristic classes and Chern-Weil construction -- 6. Spin structure and Dirac operator -- 7. Equivariant k-theory -- 8. The index theorem -- 9. Cohomological formulation of the index theorem. | |
| 588 | 0 | |a Print version record. | |
| 520 | 3 | |a This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K -theoretic index theorem and its representation in terms of cohomological characteristic classes. In an effort to make the demands on the reader's knowledge of background materials as modest as possible, the author supplies the proofs of almost every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, and the Atiyah-Segal-Singer fixed point theorem, etc. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Atiyah-Singer index theorem. | |
| 650 | 0 | |a Elliptic operators. | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 0 | |a Fixed point theory. | |
| 650 | 6 | |a Théorème d'Atiyah-Singer. | |
| 650 | 6 | |a Opérateurs elliptiques. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 6 | |a Théorème du point fixe. | |
| 650 | 7 | |a Atiyah-Singer index theorem |2 fast | |
| 650 | 7 | |a Elliptic operators |2 fast | |
| 650 | 7 | |a Fixed point theory |2 fast | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 758 | |i has work: |a Atiyah-Singer index theorem (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFrkqmvDVCGt8PpJFCrvf3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Mukherjee, Amiya. |t Atiyah-Singer index theorem. |d New Delhi : Hindustan Book Agency, [2013] |z 9380250541 |w (OCoLC)857404879 |
| 830 | 0 | |a Texts and readings in mathematics ; |v 69. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5394695 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35779795 | ||
| 938 | |a YBP Library Services |b YANK |n 14735382 | ||
| 994 | |a 92 |b IZTAP | ||