Geometric quantization for proper moment maps: the Vergne conjecture
نویسندگان
چکیده
We establish a geometric quantization formula for a Hamiltonian action of a compact Lie group acting on a noncompact symplectic manifold with proper moment map.
منابع مشابه
Geometric Quantization for Proper Moment Maps
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. 0. Introduction The famous geometric quantization conjecture of Guillemin and Sternberg [9] states that for a compact pre-quantizable...
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