Cohomological Hall algebras of quivers and Yangians
arXiv:2312.15803
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.
55 pages
References in corpus (6)
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- BPS algebras and generalised Kac-Moody algebras from 2-Calabi-Yau categories
- Non-archimedean Gromov-Witten invariants
- Okounkov's conjecture via BPS Lie algebras
- Quantum loop groups and -theoretic stable envelopes
- Generators of the preprojective CoHA of a quiver