Cluster structures for the $A_{\infty }$ singularity

Jenny August, Man-Wai Cheung, Eleonore Faber +2

We study a category ${\mathcal{C}}_2$ of $\mathbb{Z}$-graded MCM modules over the $A_{\infty }$ curve singularity and demonstrate it has infinite type $A$ cluster combinatorics. In part…