20 citations · 154 across the 33 of their papers we have counts for
40 papers
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…
Orthosymplectic Implosions
Antoine Bourget, Andrew Dancer, Julius F. Grimminger +3
We propose quivers for Coulomb branch constructions of universal implosions for orthogonal and symplectic groups, extending the work on special unitary groups in arXiv:2004.09620.…
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.
Moment maps and cohomology of non-reductive quotients
Gergely Bérczi, Frances Kirwan
Let be a complex linear algebraic group with internally graded unipotent radical acting on a complex projective variety . Given an ample linearisation of the action and an a…
Non-reductive geometric invariant theory and hyperbolicity
Gergely Bérczi, Frances Kirwan
The Green--Griffiths--Lang and Kobayashi hyperbolicity conjectures for generic hypersurfaces of polynomial degree are proved using intersection theory for non-reductive geometric i…
Morse theory without nondegeneracy
Frances Kirwan, Geoffrey Penington
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only fi…