Double Dimer Covers on Snake Graphs from Super Cluster Expansions
Combinatorics
2021-11-18 v2
Abstract
In a recent paper, the authors gave combinatorial formulas for the Laurent expansions of super -lengths in a marked disk, generalizing Schiffler's -path formula. In the present paper, we give an alternate combinatorial expression for these super -lengths in terms of double dimer covers on snake graphs. This generalizes the dimer formulas of Musiker, Schiffler, and Williams.
Keywords
Cite
@article{arxiv.2110.06497,
title = {Double Dimer Covers on Snake Graphs from Super Cluster Expansions},
author = {Gregg Musiker and Nicholas Ovenhouse and Sylvester W. Zhang},
journal= {arXiv preprint arXiv:2110.06497},
year = {2021}
}
Comments
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