Geometric quantization for proper moment maps: the Vergne conjecture

Weiping Zhang (CIM); Xiaonan Ma (IMJ)

arxiv: 0812.3989 · v2 · pith:3I75XIRPnew · submitted 2008-12-20 · 🧮 math.DG · math.RT· math.SG

Geometric quantization for proper moment maps: the Vergne conjecture

Xiaonan Ma (IMJ) , Weiping Zhang (CIM) This is my paper

classification 🧮 math.DG math.RTmath.SG

keywords geometricmomentproperquantizationactingactioncompactconjecture

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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.

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Geometric quantization for proper moment maps: the Vergne conjecture

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