2022/06/17 by Jin, Xin · 1 citation
#FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2206.09035
We prove homological mirror symmetry for the universal centralizer JG (a.k.a the Toda space), associated to any complex reductive 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 the center of G is not connected).