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<p>We show how the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation>-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.</p>

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A geometric perspective on the \(\tau \)-cluster morphism category

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月18日

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  • Sibylle Schroll,
  • Aran Tattar,
  • Hipolito Treffinger,
  • Nicholas J. Williams

摘要

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.