79 citations · 302 across the 13 of their papers we have counts for
4 papers · 1 filter
Quantum cluster variables via vanishing cycles
Alexander I. Efimov
In this paper, we provide a Hodge-theoretic interpretation of Laurent phenomenon for general skew-symmetric quantum cluster algebras, using Donaldson-Thomas theory for a quiver wit…
Cohomological Hall algebra of a symmetric quiver
Alexander I. Efimov
In the paper \cite{KS}, Kontsevich and Soibelman in particular associate to each finite quiver with a set of vertices the so-called Cohomological Hall algebra $\cH,$ which…
Homological mirror symmetry for punctured spheres
Mohammed Abouzaid, Denis Auroux, Alexander I. Efimov +2
We prove that the wrapped Fukaya category of a punctured sphere ( with an arbitrary number of points removed) is equivalent to the triangulated category of singularities of a…
Coherent analogues of matrix factorizations and relative singularity categories
Alexander I. Efimov, Leonid Positselski
We define the triangulated category of relative singularities of a closed subscheme in a scheme. When the closed subscheme is a Cartier divisor, we consider matrix factorizations o…