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

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dc.creatorLerman, Eugene
dc.creatorTolman, Susan
dc.date1998-10-07
dc.date.accessioned2026-07-07T05:26:21Z
dc.date.available2026-07-07T05:26:21Z
dc.descriptionWe 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.
dc.description17 pages, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math/9810046
dc.identifierhttp://arxiv.org/abs/math/9810046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77518
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subjectSymplectic Geometry
dc.subject58F05 (Primary) 32C42 (Secondary)
dc.titleIntersection cohomology of $S^1$ symplectic quotients and small resolutions
dc.typetext

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