42 citations · 322 across the 32 of their papers we have counts for
6 papers · 2 filters
Motivic Donaldson-Thomas invariants and McKay correspondence
Sergey Mozgovoy
Let be a finite group. We compute motivic Pandharipande-Thomas and Donaldson-Thomas invariants of the crepant resolution of …
Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
Andrew Morrison, Sergey Mozgovoy, Kentaro Nagao +1
We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product f…
Solutions of the motivic ADHM recursion formula
Sergey Mozgovoy
We give an explicit solution of the ADHM recursion formula conjectured by Chuang, Diaconescu, and Pan. This solution is closely related to the formula for the Hodge polynomials of…
Wall-crossing formulas for framed objects
Sergey Mozgovoy
We prove wall-crossing formulas for the motivic invariants of the moduli spaces of framed objects in the ind-constructible abelian categories. Developed techniques are applied in t…
Motivic Donaldson-Thomas invariants and Kac conjecture
Sergey Mozgovoy
We derive some combinatorial consequences from the positivity of Donaldson-Thomas invariants for symmetric quivers conjectured by Kontsevich and Soibelman and proved recently by Ef…
On the motivic Donaldson-Thomas invariants of quivers with potentials
Sergey Mozgovoy
We study motivic Donaldson-Thomas invariants for a class of quivers with potentials using the strategy of Behrend, Bryan, and Szendroi. This class includes quivers with potentials…