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Intersection cohomology of $S^1$ symplectic quotients and small resolutions

Eugene Lerman·Susan Tolman
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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 $S^1$ 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.

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BibTeXRIS

Eugene Lerman, Susan Tolman. 1998-10-07. Intersection cohomology of $S^1$ symplectic quotients and small resolutions. https://arxiv.org/abs/math/9810046

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