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

Aran Tattar; Hipolito Treffinger; Nicholas J. Williams; Sibylle Schroll

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2302.12217 v2 pith:LIQHHTYR submitted 2023-02-23 math.RT

Sibylle Schroll , Aran Tattar , Hipolito Treffinger , Nicholas J. Williams This is my paper

classification math.RT

keywords categoryclustergeometricmorphismperspectivealgebradefinedleads

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

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.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Mutation of $\tau$-exceptional sequences for acyclic quivers over local algebras
math.RT 2025-05 conditional novelty 6.0 of 10

For algebras R⊗kQ with R local and Q acyclic, BHM mutation of complete τ-exceptional sequences coincides with classical mutation, and the braid group acts transitively.

Pith tools