A geometric perspective on the $τ$-cluster morphism category

Schroll, Sibylle and Tattar, Aran and Treffinger, Hipolito and Williams, Nicholas J. (2023) A geometric perspective on the $τ$-cluster morphism category. Other. UNSPECIFIED.

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Abstract

We show how the $\tau$-cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that the category is well-defined.