3 citations · 3 across the 6 of their papers we have counts for
6 papers
Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts
Shivang Jindal, Sarunas Kaubrys, Alexei Latyntsev
We construct a vertex coproduct on the Kontsevich--Soibelman cohomological Hall algebra (CoHA) of a quiver with potential, following Joyce (2018). We show it forms a vertex bialgeb…
Orthosymplectic modules of cohomological Hall algebras
Samuel DeHority, Alexei Latyntsev
We study modules and comodules for cohomological Hall algebras equipped with their vertex coproducts arising as objects with classical type stabilizer groups. Specifically we consi…
The stacky concentration theorem
Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2
We give a sufficient criterion for the Chow or algebraic bordism groups of an algebraic stack, localized at a set of Chern classes of line bundles, to be concentrated in some close…
Factorisation quantum groups
Alexei Latyntsev
We develop vertex and factorisation algebra analogues of the theory of quasitriangular bialgebras. Analogously to the classical theory, we prove their categories of representations…
Virtual localization revisited
Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2
Let be a split torus acting on an algebraic scheme with fixed locus . Edidin and Graham showed that on localized -equivariant Chow groups, (a) push-forward alon…
Cohomological Hall algebras and vertex algebras
Alexei Latyntsev
The moduli stack of representations of a quiver, or coherent sheaves on a proper curve, carries two structures on its cohomology: a Hall algebra and braided vertex coalgebra. We sh…