Duistermaat-Heckman measures in a non-compact setting
alg-geom
2008-02-03 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We prove a \dh type formula in a suitable non-compact setting. We use this formula to evaluate explicitly the pushforward of the Liouville measure via the moment map of both an abelian and a non-abelian group action. As an application we obtain the classical analogues of well-known multiplicity formulas for the holomorphic discrete series representations.
Cite
@article{arxiv.alg-geom/9307005,
title = {Duistermaat-Heckman measures in a non-compact setting},
author = {Elisa Prato and Siye Wu},
journal= {arXiv preprint arXiv:alg-geom/9307005},
year = {2008}
}
Comments
LaTeX file, 14 pages