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Integrable systems and cluster algebras | Synapse

March 11, 20240 citationsOpen Access

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Integrable systems and cluster algebras

MGMichael GekhtmanUniversity of Notre Dame AIAnton IzosimovUniversity of Glasgow

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Resumen

We review several constructions of integrable systems with an underlying cluster algebra structure, in particular the Gekhtman-Shapiro-Tabachnikov-Vainshtein construction based on perfect networks and the Goncharov-Kenyon approach based on the dimer model. We also discuss results of Galashin and Pylyavskyy on integrability of T-systems.

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Cite This Study

Gekhtman et al. (Mon,) studied this question.

synapsesocial.com/papers/68e74ba6b6db6435876c48b9 https://doi.org/https://doi.org/10.48550/arxiv.2403.07287