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A mirror construction for the totally nonnegative part of the Peterson variety

Konstanze Rietsch
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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 SL_n/B. We then use this theory to describe the totally nonnegative part of Y.

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Konstanze Rietsch. 2006-12-04. A mirror construction for the totally nonnegative part of the Peterson variety. https://arxiv.org/abs/math/0604170

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