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List Price: | $81.00 |
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AMS Member Price: | $48.60 |
Softcover ISBN: | 978-1-4704-3522-6 |
eBook: ISBN: | 978-1-4704-5397-8 |
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AMS Member Price: | $97.20 $72.90 |
Softcover ISBN: | 978-1-4704-3522-6 |
Product Code: | MEMO/261/1257 |
List Price: | $81.00 |
MAA Member Price: | $72.90 |
AMS Member Price: | $48.60 |
eBook ISBN: | 978-1-4704-5397-8 |
Product Code: | MEMO/261/1257.E |
List Price: | $81.00 |
MAA Member Price: | $72.90 |
AMS Member Price: | $48.60 |
Softcover ISBN: | 978-1-4704-3522-6 |
eBook ISBN: | 978-1-4704-5397-8 |
Product Code: | MEMO/261/1257.B |
List Price: | $162.00 $121.50 |
MAA Member Price: | $145.80 $109.35 |
AMS Member Price: | $97.20 $72.90 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 261; 2019; 71 ppMSC: Primary 58; 53; Secondary 19; 57
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 multiplicities of the index of general \(spin^c\) Dirac operators.
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Table of Contents
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Chapters
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Introduction
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1. Index Theory
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2. $\ensuremath {\mathbf {K}}$-theoretic localization
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3. “Quantization commutes with Reduction” Theorems
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4. Branching laws
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Additional Material
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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 multiplicities of the index of general \(spin^c\) Dirac operators.
-
Chapters
-
Introduction
-
1. Index Theory
-
2. $\ensuremath {\mathbf {K}}$-theoretic localization
-
3. “Quantization commutes with Reduction” Theorems
-
4. Branching laws