On cohomological Hall algebras of quivers : Yangians

Abstract

We consider the cohomological Hall algebra Y of a Lagrangian substack of the moduli stack of representations of the preprojective algebra of an arbitrary quiver Q, and its actions on the cohomology of quiver varieties. We conjecture that Y is equal, after a suitable extension of scalars, to the Yangian introduced by Maulik and Okounkov, and we construct an embedding of Y in the Yangian, intertwining the respective actions of both algebras on the cohomology of quiver varieties.

41 pages

References in corpus (1)

• Motivic Donaldson-Thomas invariants and McKay correspondence

Cited by in corpus (4)

• Crystal Melting, BPS Quivers and Plethystics
• Quiver Schur algebras and cohomological Hall algebras
• Cohomological Hall algebras of quivers and Yangians
• Shuffle algebras for quivers and R-matrices