%0 Generic %1 davison2022affine %A Davison, Ben %D 2022 %K Hall %T Affine BPS algebras, W algebras, and the cohomological Hall algebra of $A^2$ %U http://arxiv.org/abs/2209.05971 %X In this paper we introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver with potential, and use them to precisely determine the $T$-equivariant cohomological Hall algebra $H_A^2^T$ of compactly supported coherent sheaves on $A^2$, acted on by a torus $T$. In particular we show that this algebra is spherically generated for all $T$.

@misc{davison2022affine, abstract = {In this paper we introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver with potential, and use them to precisely determine the $T$-equivariant cohomological Hall algebra $\mathcal{H}_{\mathbb{A}^2}^T$ of compactly supported coherent sheaves on $\mathbb{A}^2$, acted on by a torus $T$. In particular we show that this algebra is spherically generated for all $T$.}, added-at = {2022-09-14T13:57:36.000+0200}, author = {Davison, Ben}, biburl = {https://www.bibsonomy.org/bibtex/26e18a62bba3fd43a8226805d26a88d12/dragosf}, description = {Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$}, interhash = {7282b1c658ba3f0e500afd8c97f044a5}, intrahash = {6e18a62bba3fd43a8226805d26a88d12}, keywords = {Hall}, note = {cite arxiv:2209.05971Comment: Prepared for the festschrift honouring the 60th birthday of Ezra Getzler. Comments welcome!}, timestamp = {2022-09-14T13:57:36.000+0200}, title = {Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$}, url = {http://arxiv.org/abs/2209.05971}, year = 2022 }