10 citations · 18 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
Refinements of the Morse stratification of the normsquare of the moment map
Frances Kirwan
Let X be any nonsingular complex projective variety on which a complex reductive group G acts linearly, and let X^{ss} and X^s be the sets of semistable and stable points of X in t…
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited
Frances Kirwan
Refinements of the Yang-Mills stratifications of spaces of connections over a compact Riemann surface are investigated. The motivation for this study was the search for a complete…
Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface
Richard Earl, Frances Kirwan
The cohomology ring of the moduli space of stable holomorphic vector bundles of rank n and degree d over a Riemann surface of genus g>1 has a standard set of generators when n and…
Cohomology of moduli spaces
Frances Kirwan
Some recent progress towards understanding the cohomology of moduli spaces of curves is described. Madsen and Weiss have given a proof of a generalisation of Mumford's conjecture o…
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…