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2006 A mirror construction for the totally nonnegative part of the Peterson variety
Konstanze Rietsch
Nagoya Math. J. 183: 105-142 (2006).

Abstract

We explain how A. Givental's mirror symmetric family [14] to the type $A$ flag variety and its proposed generalization [3] to partial flag varieties by Batyrev, Ciocan-Fontanine, Kim and van Straten relate to the Peterson variety $Y \subset SL_{n}/B$. We then use this theory to describe the totally nonnegative part of $Y$, extending a result from [30].

Citation

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Konstanze Rietsch. "A mirror construction for the totally nonnegative part of the Peterson variety." Nagoya Math. J. 183 105 - 142, 2006.

Information

Published: 2006
First available in Project Euclid: 5 September 2006

zbMATH: 1111.14048
MathSciNet: MR2253887

Subjects:
Primary: 14N15, 14N35, 15A48, 20G20

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

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Vol.183 • 2006
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