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A Mirror Construction for the Totally Nonnegative Part of the Peterson Variety

Published online by Cambridge University Press:  11 January 2016

Konstanze Rietsch
Konstanze Rietsch*
Affiliation:
King’s College LondonUKkonstanze.rietsch@kcl.ac.uk
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Abstract

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

Keywords

20G2015A4814N3514N15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 183 , 2006 , pp. 105 - 142
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

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