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June 2014 Toric degenerations of integrable systems on Grassmannians and polygon spaces
Yuichi Nohara, Kazushi Ueda
Nagoya Math. J. 214: 125-168 (June 2014). DOI: 10.1215/00277630-2643839

Abstract

We introduce a completely integrable system on the Grassmannian of 2-planes in an n-space associated with any triangulation of a polygon with n sides, and we compute the potential function for its Lagrangian torus fiber. The moment polytopes of this system for different triangulations are related by an integral piecewise-linear transformation, and the corresponding potential functions are related by its geometric lift in the sense of Berenstein and Zelevinsky.

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Yuichi Nohara. Kazushi Ueda. "Toric degenerations of integrable systems on Grassmannians and polygon spaces." Nagoya Math. J. 214 125 - 168, June 2014. https://doi.org/10.1215/00277630-2643839

Information

Published: June 2014
First available in Project Euclid: 3 March 2014

zbMATH: 1304.37037
MathSciNet: MR3211821
Digital Object Identifier: 10.1215/00277630-2643839

Subjects:
Primary: 37J35
Secondary: 53D37

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal

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Vol.214 • June 2014
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