%0 Journal Article %T Geometric quantization for proper moment maps: the Vergne conjecture %A Xiaonan Ma %A Weiping Zhang %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.3989v2