53 citations · 186 across the 27 of their papers we have counts for
16 papers · 1 filter
Coherent sheaves on surfaces, COHAs and deformed -algebras
Anton Mellit, Alexandre Minets, Olivier Schiffmann +1
We compute the cohomological Hall algebra of zero-dimensional sheaves on an arbitrary smooth quasi-projective surface with pure cohomology, deriving an explicit presentation by…
Refined Verlinde and Segre formula for Hilbert schemes
Lothar Göttsche, Anton Mellit
Let be the Hilbert scheme of points on a smooth projective surface . To a class correspond a tautological vector bundle on $\mathr…
The Tutte polynomial and toric Nakajima quiver varieties
Tarig Abdelgadir, Anton Mellit, Fernando Rodriguez-Villegas
For a quiver , we take an associated toric Nakajima quiver variety and the underlying graph. In this article, we give a direct relation between a specialisatio…
Cell decompositions of character varieties
Anton Mellit
We establish curious Lefschetz property for generic character varieties of Riemann surfaces conjectured by Hausel, Letellier and Rodriguez-Villegas. Our main tool applies directly…
Mirror symmetry with branes by equivariant Verlinde formulae
Tamas Hausel, Anton Mellit, Du Pei
We find an agreement of equivariant indices of semi-classical homomorphisms between pairwise mirror branes in the GL(2) Higgs moduli space on a Riemann surface. On one side we have…
Poincare polynomials of character varieties, Macdonald polynomials and affine Springer fibers
Anton Mellit
We prove an explicit formula for the Poincaré polynomials of parabolic character varieties of Riemann surfaces with semisimple local monodromies, which was conjectured by Hausel, L…