Work

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

Year: 2026

Type: article

Abstract: We show how the $$\tau $$ τ -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.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-026-03957-1

Authors: Sibylle Schroll, Aran Tattar, Hipolito Treffinger, Nicholas J. Williams

Institutions: University of Cologne, Consejo Nacional de Investigaciones Científicas y Técnicas, University of Cambridge

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: European Commission, Deutsche Forschungsgemeinschaft, Consejo Nacional de Investigaciones Científicas y Técnicas, Engineering and Physical Sciences Research Council

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G1600773818, Simple-mindedness in triangulated categories, G434337789, Singularities, symplectic topology and mirror symmetry, Graphs in Representation Theory, G470993797, TRR 191: Symplektische Strukturen in Geometrie, Algebra und Dynamik, Stability conditions in Representation Theory and beyond

OpenAlex ID: W7130425765

FWCI: 21.71

Cites: 21

Cited by: 2

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