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arXiv · 2311.17321

Enumerating families of clusters in type $\tilde{\mathbb{A}}$

Ray Maresca·Nikolas Proskura
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Abstract

In this paper, we will place clusters in type $\tilde{\mathbb{A}}$ (equivalently triangluations of an annulus) into infinite families parametrized by winding numbers of certain arcs in the corresponding triangulation. We will count how many such families there are and provide an algebraic description of these families in terms of the corresponding cluster category.

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Ray Maresca, Nikolas Proskura. 2023-11-29. Enumerating families of clusters in type $\tilde{\mathbb{A}}$. https://arxiv.org/abs/2311.17321

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