English

A geometric perspective on the $\tau$-cluster morphism category

Representation Theory 2023-04-20 v2

Abstract

We show how the τ\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.

Keywords

Cite

@article{arxiv.2302.12217,
  title  = {A geometric perspective on the $\tau$-cluster morphism category},
  author = {Sibylle Schroll and Aran Tattar and Hipolito Treffinger and Nicholas J. Williams},
  journal= {arXiv preprint arXiv:2302.12217},
  year   = {2023}
}

Comments

20 pages, 5 figures. Comments welcome! v2: added a little more discussion

R2 v1 2026-06-28T08:48:12.525Z