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Formal geometric
quantization II
Paul-Émile Paradan |
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Vol. 253 (2011), No. 1, 169–211
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Abstract |
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We study the formal geometric quantization of noncompact Hamiltonian manifolds. Our main result is that two quantization processes coincide. Ma and Zhang obtained the same result in a recent preprint by completely different means. |
Keywords
moment map, reduction, geometric quantization,
transversally elliptic symbol
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Mathematical Subject Classification 2000
Primary: 58F06, 57S15, 19L47, 58J20, 81S10
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Milestones
Received: 2 July 2009
Revised: 17 October 2011
Accepted: 20 October 2011
Published: 28 November 2011
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Authors |
| Paul-Émile Paradan | |
| Institut de Mathématiques et de
Modélisation de Montpellier (I3M) Université Montpellier 2 Place Eugène Bataillon 34095 Montpellier cedex 5 France |
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| http://www.math.univ-montp2.fr/~paradan/ | |
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