English

A gluing operation for dimer quivers

Combinatorics 2024-02-06 v1

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.

Cite

@article{arxiv.2402.02784,
  title  = {A gluing operation for dimer quivers},
  author = {Karin Baur and Colin Krawchuk},
  journal= {arXiv preprint arXiv:2402.02784},
  year   = {2024}
}

Comments

33 pages, 13 figures

R2 v1 2026-06-28T14:38:11.091Z