53 citations · 186 across the 27 of their papers we have counts for
38 papers
Tautological classes for (n,n+1) torus knots
Eugene Gorsky, Anton Mellit
We construct an explicit isomorphism between the HOMFLY-PT homology of torus knots and the direct sum of hook isotypic components of the space of diagonal coinvariants. A…
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…
GKM spaces, and the signed positivity of the nabla operator
Erik Carlsson, Anton Mellit
We show that the Frobenius character of the equivariant Borel-Moore homology of a certain positive -version of the unramified affine Springer fiber studied by Goreski,…
Type DAHA and Doubly Periodic Tableaux
Léa Bittmann, Alex Chandler, Anton Mellit +1
Analogously to the construction of Suzuki and Vazirani, we construct representations of the -type Double Affine Hecke Algebra at roots of unity. These representations are gra…
Tautological classes and symmetry in Khovanov-Rozansky homology
Eugene Gorsky, Matthew Hogancamp, Anton Mellit
We define a new family of commuting operators in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove…