42 citations · 322 across the 32 of their papers we have counts for
4 papers · 1 filter
Tautological bases of CoHA modules
Hans Franzen, Sergey Mozgovoy
Given a quiver, we consider its cohomological Hall algebra (CoHA) as well as CoHA modules built of cohomology groups of non-commutative Hilbert schemes. We investigate cell decompo…
DT invariants from vertex algebras
Vladimir Dotsenko, Sergey Mozgovoy
We obtain a new interpretation of the cohomological Hall algebra of a symmetric quiver in the context of the theory of vertex algebras. Namely, we show that the…
Donaldson-Thomas invariants for 3-Calabi-Yau varieties of dihedral quotient type
Sergey Mozgovoy, Markus Reineke
We compute motivic Donaldson-Thomas invariants for crepant resolutions of quotients of affine three-space by even dihedral groups in terms of an affine type D root system, using do…
Operadic approach to wall-crossing
Sergey Mozgovoy
Wall-crossing phenomena are ubiquitous in many problems of algebraic geometry and theoretical physics. Various ways to encode the relevant information and the need to track the cha…