A Mirror Symmetric Construction of Qh

@inproceedings{Rietsch2007AMS,
  title={A Mirror Symmetric Construction of Qh},
  author={Konstanze Christina Rietsch},
  year={2007}
}
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. 

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