On cohomological Hall algebras of quivers : Yangians
arXiv:1705.07491
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.
arXiv comment41 pages
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- Motivic Donaldson-Thomas invariants and McKay correspondence
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Cited by in corpus (10)
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- McKay correspondence, cohomological Hall algebras and categorification
- The Wheel Conditions and K-theoretic Hall Algebras
- Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and W-algebras
- Shuffle algebras for quivers and R-matrices
- Cohomological Hall algebras of quivers and Yangians