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Double Dimer Covers on Snake Graphs from Super Cluster Expansions

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CAR - Cluster algebras and representation theory

This talk focuses on Laurent expansions of super lambda-lengths in a marked disk.  It is based on work in
https://arxiv.org/abs/2102.09143, which generalizes Schiffler’s T-path formula, and a recent sequel in https://arxiv.org/abs/2110.06497, which gives an alternate combinatorial expression in terms of double dimer covers on snake graphs. The latter generalizes an earlier interpretation of dimers on snake graphs for ordinary lambda lengths defined with Schiffler and Williams.  For the case of super lambda-lengths, this is joint work with Ovenhouse and Zhang.

This talk is part of the Isaac Newton Institute Seminar Series series.

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