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arXiv · 1705.07491

On cohomological Hall algebras of quivers : Yangians

Olivier Schiffmann·Eric Vasserot
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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.

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Olivier Schiffmann, Eric Vasserot. 2017-05-21. On cohomological Hall algebras of quivers : Yangians. https://arxiv.org/abs/1705.07491

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