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arXiv · 2312.15803

Cohomological Hall algebras of quivers and Yangians

Olivier Schiffmann·Eric Vasserot
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Abstract

We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which intertwines the respective actions on the cohomology of the Nakajima quiver varieties. We use this to prove a conjecture of Okounkov relating the character of the Maulik-Okounkov Lie algebra to Kac polynomials.

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BibTeXRIS

Olivier Schiffmann, Eric Vasserot. 2023-12-25. Cohomological Hall algebras of quivers and Yangians. https://arxiv.org/abs/2312.15803

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