A mirror symmetric construction of qH*T(G/P)(q)
Abstract
Let G be a simple simply connected complex algebraic group. We give a Lie theoretic construction of a conjectural mirror family associated to a general flag variety G/P, and show that it recovers the Peterson variety presentation for the T-equivariant quantum cohomology rings qH*T(G/P)(q) with quantum parameters inverted. For SLn/B we relate our construction to the mirror family defined by Givental and its T-equivariant analogue due to Joe and Kim.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.