Homological Mirror Symmetry for the universal centralizers
Representation Theory
2022-10-20 v3 Symplectic Geometry
Abstract
We prove homological mirror symmetry for the universal centralizer (a.k.a the Toda space), associated to any complex reductive Lie group . The A-side is a partially wrapped Fukaya category on , 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 is not connected).
Keywords
Cite
@article{arxiv.2206.09035,
title = {Homological Mirror Symmetry for the universal centralizers},
author = {Xin Jin},
journal= {arXiv preprint arXiv:2206.09035},
year = {2022}
}
Comments
119 pages, 11 figures. This is a merge and revision of arXiv:2107.13395 and the previous version of this post, following the referee's suggestions