Geometric quantization for proper moment maps: the Vergne conjecture
Differential Geometry
2012-09-20 v2 Representation Theory
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.0812.3989,
title = {Geometric quantization for proper moment maps: the Vergne conjecture},
author = {Xiaonan Ma and Weiping Zhang},
journal= {arXiv preprint arXiv:0812.3989},
year = {2012}
}
Comments
40 pages. Final version, to appear in Acta Mathematica