10 citations · 26 across the 6 of their papers we have counts for
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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…