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February 20, 2026Mathematische Zeitschrift0 citationsOpen Access

A geometric perspective on the -cluster morphism category

SSSibylle SchrollATAran TattarHTHipolito Treffinger

Key Points

  • To define the tau-cluster morphism category using a geometric framework and to show it is well-defined.
  • Utilized the wall-and-chamber structure of an algebra to provide a geometric perspective.
  • Developed a proof to demonstrate the well-defined nature of the category.
  • Established a simplified proof that confirms the tau-cluster morphism category is well-defined.

Abstract

Abstract We show how the 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.

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Cite This Study

Schroll et al. (2026) studied this question.

synapsesocial.com/papers/6997fa80ad1d9b11b3453ca5https://doi.org/10.1007/s00209-026-03957-1
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