Geometric quantization for proper moment maps

Details Geometric quantization for proper moment maps Geometric quantization for proper moment maps

2008-12-20

arxiv.org/abs/0812.3989v1

Mathematics

Differential Geometry

41 pages

Scientific paper

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 resolve the conjecture of
Vergne in this non-compact setting.

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