20 citations · 154 across the 33 of their papers we have counts for
4 papers · 1 filter
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…
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…
Yang-Mills theory and Tamagawa numbers
Aravind Asok, Brent Doran, Frances Kirwan
Atiyah and Bott used equivariant Morse theory applied to the Yang-Mills functional to calculate the Betti numbers of moduli spaces of vector bundles over a Riemann surface, rederiv…
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…