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

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

1998-10-07

arxiv.org/abs/math/9810046v1

Mathematics

Differential Geometry

17 pages, LaTeX 2e

Scientific paper

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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