4 citations · 8 across the 8 of their papers we have counts for
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Intersection cohomology of representation spaces of surface groups
Young-Hoon Kiem
We show by studying the symplectic geometry of the extended moduli space that the intersection cohomology of the representation space for a simply connected compa…
The cosupport axiom, equivariant cohomology and the intersection cohomology of certain symplectic quotients
Young-Hoon Kiem, Jonathan Woolf
Let be a proper Hamiltonian -space with proper moment map . The symplectic quotient is in general a singular stratified space. In this paper we first gene…
Intersection cohomology of quotients of nonsingular varieties
Young-Hoon Kiem
The purpose of this paper is to provide a way to compute the intersection cohomology of the GIT quotient of a nonsingular projective variety. We show that the middle perversity int…
Cohomology pairings on singular quotients in geometric invariant theory
Lisa C. Jeffrey, Young-Hoon Kiem, Frances Kirwan +1
In this paper we shall give formulas for the pairings of intersection cohomology classes of complementary dimensions in the intersection cohomology of geometric invariant theoretic…