2021/07/28 by Xin Jin, Jin, Xin
Mathematics · #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2107.13395
We prove homological mirror symmetry for the universal centralizer JG (a.k.a Toda space), associated to any complex semisimple Lie group G. The A-side is a partially wrapped Fukaya category on JG, 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 G has a nontrivial center). This is the first and the main part of a two-part series, dealing with G of adjoint type. The general case will be proved in the forthcoming second part [Jin2].