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Witten non abelian localization for equivariant K-theory, and the [Q, R]=0 theorem /
The purpose of the present memoir is two-fold. First, the authors obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten, the authors deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[2019].
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| Colección: | Memoirs of the American Mathematical Society.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Paradan, Paul-Emile, |e author. | |
| 245 | 1 | 0 | |a Witten non abelian localization for equivariant K-theory, and the [Q, R]=0 theorem / |c Paul-Emile Paradan, Michéle Vergne. |
| 264 | 1 | |a Providence : |b American Mathematical Society, |c [2019]. | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (v, 84 pages) | ||
| 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 Memoirs of the American Mathematical Society ; |v v. 261 | |
| 588 | 0 | |a Description based on print version record. | |
| 505 | 0 | |a Cover -- Title page -- Introduction -- Chapter 1. Index Theory -- 1.1. Elliptic and transversally elliptic symbols -- 1.2. Functoriality -- 1.3. Clifford bundles and Dirac operators -- Chapter 2. \K-theoretic localization -- 2.1. Deformation à la Witten of Dirac operators -- 2.2. Abelian Localization formula -- 2.3. Non abelian localization formula -- Chapter 3. "Quantization commutes with Reduction" Theorems -- 3.1. The [,]=0 theorem for Clifford modules -- 3.2. The [,]=0 theorem for almost complex manifolds -- 3.3. A slice theorem for deformed symbol -- 3.4. The Hamiltonian setting | |
| 505 | 8 | |a Chapter 4. Branching laws -- 4.1. Quasi polynomial behaviour -- 4.2. Multiplicities on a face -- Bibliography -- Back Cover | |
| 520 | |a The purpose of the present memoir is two-fold. First, the authors obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten, the authors deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a moment map. Second, the authors use this general approach to reprove the [Q, R] = 0 theorem of Meinrenken-Sjamaar in the Hamiltonian case and obtain mild generalizations to almost complex manifolds. This non-abelian localization theorem can be used to obtain a geometric description of the multiplici. | ||
| 504 | |a Includes bibliographical references (pages 69-71) | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Non-Abelian groups. | |
| 650 | 0 | |a K-theory. | |
| 650 | 6 | |a Groupes non abéliens. | |
| 650 | 6 | |a K-théorie. | |
| 650 | 7 | |a Grupos abelianos |2 embne | |
| 650 | 0 | 7 | |a Teoría K |2 embucm |
| 650 | 7 | |a K-theory |2 fast | |
| 650 | 7 | |a Non-Abelian groups |2 fast | |
| 700 | 1 | |a Vergne, Michèle, |e author. | |
| 758 | |i has work: |a Witten non abelian localization for equivariant K-theory, and the [Q,R] = 0 theorem (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkjbgdH6ckk8vvVVp79wC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Paradan, Paul-Emile. |t Witten Non Abelian Localization for Equivariant K-Theory, and the [Q, R]=0 Theorem. |d Providence : American Mathematical Society, ©2019 |z 9781470435226 |
| 830 | 0 | |a Memoirs of the American Mathematical Society. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5990823 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445293 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5990823 | ||
| 938 | |a YBP Library Services |b YANK |n 301000550 | ||
| 994 | |a 92 |b IZTAP | ||