A gluing operation for dimer quivers

Published 5 Feb 2024 in math.CO | (2402.02784v1)

Abstract: In this article we introduce a gluing operation on dimer models. This allows us to construct dimer quivers on arbitrary surfaces. We study how the associated dimer and boundary algebras behave under the gluing and how to determine them from the gluing components. We also use this operation to construct homogeneous dimer quivers on annuli.

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