10 citations · 26 across the 9 of their papers we have counts for
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math.AG2008
Symplectic implosion and non-reductive quotients
Frances Kirwan
The symplectic implosion construction of Guillemin, Jeffrey and Sjamaar associates to a Hamiltonian action of a compact group K on a symplectic manifold X its 'imploded cross secti…
math.SG2008
On the cohomology of hyperkahler quotients
Lisa Jeffrey, Young-Hoon Kiem, Frances Kirwan
This paper gives a partial desingularisation construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyper…
math.AG2008
Quotients by non-reductive algebraic group actions
Frances Kirwan
Given a suitable action on a complex projective variety X of a non-reductive affine algebraic group H, this paper considers how to choose a reductive group G containing H and a pro…