Showing 2001Show all
3 papers · 1 filter
math.AG2001
The Decomposition Theorem and the Intersection Cohomology of Quotients in Algebraic Geometry
Jonathan Woolf
This paper applies the decomposition theorem in intersection cohomology to geometric invariant theory quotients, relating the intersection cohomology of the quotient to that of the…
math.AG2001
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…
math.AG2001
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…