15 citations · 85 across the 25 of their papers we have counts for
27 papers
Intersection cohomology of Popov-Vinberg varieties
Andrew Dancer, Johan Martens, Nicholas Proudfoot
The Popov-Vinberg variety of a simply connected, split, semisimple algebraic group is a singular affine variety that contains the basic affine space as a Zariski open sub…
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…
Partial Implosions and Quivers
Antoine Bourget, Andrew Dancer, Julius F. Grimminger +2
We propose magnetic quivers for partial implosion spaces. Such partial implosions involve a choice of parabolic subgroup, with the Borel subgroup corresponding to the standard impl…
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.
Hypertoric manifolds of infinite topological type
Andrew Dancer
We analyse properties of hypertoric manifolds of infinite topological type, including their topology and complex structures. We show that our manifolds have the homotopy type of an…