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arXiv · 2206.09035

Homological Mirror Symmetry for the universal centralizers

Xin Jin
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Abstract

We prove homological mirror symmetry for the universal centralizer $J_G$ (a.k.a the Toda space), associated to any complex reductive Lie group $G$. The A-side is a partially wrapped Fukaya category on $J_G$, and the B-side is the category of coherent sheaves on the categorical quotient of a dual maximal torus by the Weyl group action (with some modification if the center of $G$ is not connected).

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Xin Jin. 2022-06-17. Homological Mirror Symmetry for the universal centralizers. https://arxiv.org/abs/2206.09035

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