3 papers
math.AG2025
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…
math.AG2024
The Determinant of Cohomology and Moduli of -Connections
Johan Martens
We exhibit how the Hodge-Deligne moduli space of -connections over a smooth projective curve, for stable bundles with fixed determinant, can be understood as the dual of the Ati…
math.SG2024
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…