6 papers
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
Lisa C. Jeffrey, Young-Hoon Kiem, Frances C. Kirwan +1
This paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface of genus g > 1 whe…
The Kirwan map, equivariant Kirwan maps, and their kernels
Lisa C. Jeffrey, Augustin-Liviu Mare, Jonathan M. Woolf
Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of th…
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…
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…
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…
Intersection Cohomology of Symplectic Quotients
Jonathan Woolf
Paper withdrawn - lemma 4.1 was false. Quite a lot of changes need to be made!