Intersection cohomology of $S^1$ symplectic quotients and small resolutions
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Algebraic Topology
Symplectic Geometry
Abstract
We provided two explicit formulas for the intersection cohomology (as a graded vector space with pairing) of the symplectic quotient by a circle in terms of the equivariant cohomology of the original symplectic manifold and the fixed point data. The key idea is the construction of a small resolution of the symplectic quotient.
Keywords
Cite
@article{arxiv.math/9810046,
title = {Intersection cohomology of $S^1$ symplectic quotients and small resolutions},
author = {Eugene Lerman and Susan Tolman},
journal= {arXiv preprint arXiv:math/9810046},
year = {2007}
}
Comments
17 pages, LaTeX 2e