Cobordism theory and localization formulas for Hamiltonian group actions
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We announce the following result and give several applications: A Hamiltonian -space (for a torus) with isolated fixed points is cobordant to a disjoint union of weighted projective spaces which are constructed from its fixed point data. The applications concern the Duistermaat-Heckman formula, the topological Jeffrey-Kirwan localization theorem, and geometric quantization.
Keywords
Cite
@article{arxiv.dg-ga/9601003,
title = {Cobordism theory and localization formulas for Hamiltonian group actions},
author = {Viktor Ginzburg and Victor Guillemin and Yael Karshon},
journal= {arXiv preprint arXiv:dg-ga/9601003},
year = {2008}
}
Comments
14 pages, AMS-LaTeX