Geometric quantization for proper moment maps |
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| Authors: | Xiaonan Ma Weiping Zhang |
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| Institution: | 1. Université Denis-Diderot – Paris 7, UFR de mathématiques, case 7012, site Chevaleret, 75205 Paris cedex 13, France;2. Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, PR China |
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| Abstract: | We establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, we give a solution to a conjecture of Michèle Vergne. To cite this article: X. Ma, W. Zhang, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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