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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77518We 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.17 pages, LaTeX 2eDifferential GeometryAlgebraic GeometryAlgebraic TopologySymplectic Geometry58F05 (Primary) 32C42 (Secondary)Intersection cohomology of $S^1$ symplectic quotients and small resolutionstext