Progress on Infinite Cluster Categories Related to Triangulations of the (Punctured) Disk

F Mohammadi, JD Rock, F Zaffalon - arXiv preprint arXiv:2209.15513, 2022 - arxiv.org
In this mostly expository paper, we present recent progress on infinite (weak) cluster
categories that are related to triangulations of the disk, with and without a puncture. First we …

Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of E-clusters

JD Rock - Algebras and Representation Theory, 2023 - Springer
This if the final paper in the series Continuous Quivers of Type A. In this part, we generalize
existing geometric models of type A cluster structures for the new E-clusters introduced in …