20 citations · 154 across the 33 of their papers we have counts for
9 papers · 1 filter
Implosion, Contraction and Moore-Tachikawa
Andrew Dancer, Frances Kirwan, Johan Martens
We give a survey of the implosion construction, extending some of its aspects relating to hypertoric geometry from type to a general reductive group, and interpret it in the co…
Symplectic duality and implosions
Andrew Dancer, Amihay Hanany, Frances Kirwan
We discuss symplectic and hyperkähler implosion and present candidates for the symplectic duals of the universal hyperkähler implosion for various groups.
A multiplicative analogue of complex symplectic implosion
Andrew Dancer, Frances Kirwan
We introduce a multiplicative version of complex-symplectic implosion in the case of $SL(n, \C)$. The universal multiplicative implosion for $SL(n, \C)$ is an affine variety and ca…
Symplectic and hyperkahler implosion
Andrew Dancer, Brent Doran, Frances Kirwan +1
We review the quiver descriptions of symplectic and hyperkähler implosion in the case of SU(n) actions. We give quiver descriptions of symplectic implosion for other classical grou…
Hyperkahler implosion and Nahm's equations
Andrew Dancer, Frances Kirwan, Markus Roeser
We use Nahm data to give a description of a candidate for the universal hyperkahler implosion with respect to a compact Lie group
Twistor spaces for hyperkaehler implosions
Andrew Dancer, Frances Kirwan, Andrew Swann
We study the geometry of the twistor space of the universal hyperkaehler implosion Q for SU(n). Using the description of Q as a hyperkaehler quiver variety, we construct a holomorp…
Implosions and hypertoric geometry
Andrew Dancer, Frances Kirwan, Andrew Swann
The geometry of the universal hyperKaehler implosion for SU(n) is explored. In particular, we show that the universal hyperKaehler implosion naturally contains a hypertoric variety…
Implosion for hyperkahler manifolds
Andrew Dancer, Frances Kirwan, Andrew Swann
We introduce an analogue in hyperkahler geometry of the symplectic implosion, in the case of SU(n) actions. Our space is a stratified hyperkahler space which can be defined in term…
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…