A mirror symmetric construction of qH*_T(G/P)_(q)
Algebraic Geometry
2007-08-22 v2
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 SL_n/B we relate our construction to the mirror family defined by Givental and its T-equivariant analogue due to Joe and Kim.
Keywords
Cite
@article{arxiv.math/0511124,
title = {A mirror symmetric construction of qH*_T(G/P)_(q)},
author = {Konstanze Rietsch},
journal= {arXiv preprint arXiv:math/0511124},
year = {2007}
}
Comments
35 pages, revised version for publication in Adv. Math., in particular includes new section on the equivariant case in type A