42 citations · 322 across the 32 of their papers we have counts for
4 papers · 2 filters
Motivic classes of Quot-schemes on surfaces
Sergey Mozgovoy
Given a locally free coherent sheaf on a smooth algebraic surface, we consider the Quot-scheme parametrizing zero-dimensional quotients of the sheaf and find the corresponding moti…
Translation quiver varieties
Sergey Mozgovoy
We introduce a framework of translation quiver varieties which includes Nakajima quiver varieties as well as their graded and cyclic versions. An important feature of translation q…
Commuting matrices and volumes of linear stacks
Sergey Mozgovoy
A conjecture by Higman asserts that the number of conjugacy classes in the unipotent group of upper triangular matrices over a finite field depends polynomially on the number of el…
Counting twisted Higgs bundles
Sergey Mozgovoy, Ronan O'Gorman
We count invariants of the moduli spaces of twisted Higgs bundles on a smooth projective curve.