A geometric perspective on the $$\tau $$-cluster morphism category
Abstract We show how the $$\tau $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>τ</mml:mi> </mml:math> -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.
Authors
- Sibylle Schroll (ORCID: https://orcid.org/0000-0001-9618-7647)
- Aran Tattar (ORCID: https://orcid.org/0000-0002-6994-6801)
- Nicholas J. Williams (ORCID: https://orcid.org/0000-0001-8478-4719)
- Hipolito Treffinger (ORCID: https://orcid.org/0000-0002-4573-9496)
Institutions
- Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
- University of Cologne (DE)
- Institute of Mathematical Statistics (US)
- Fundación Ciencias Exactas y Naturales (AR)
Publication Details
- Journal
- Mathematische Zeitschrift
- Published
- 2026-02-18
- DOI
- https://doi.org/10.1007/s00209-026-03957-1
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Consejo Nacional de Investigaciones Científicas y Técnicas
- Engineering and Physical Sciences Research Council