A mirror construction for the totally nonnegative part of the Peterson variety
Konstanze Rietsch
Abstract
We explain how A. Givental's mirror symmetric family to the type A flag variety and its proposed generalization to partial flag varieties by Batyrev, Ciocan-Fontanine, Kim and van Straten relate to the Peterson variety Y in SLn/B. We then use this theory to describe the totally nonnegative part of Y.
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