<p>We build the foundation of an approach studying the canonical form of 2-Calabi–Yau triangulated categories with cluster-tilting objects using dg algebras and relative singularity categories. This is motivated by cluster theory, singularity categories and Wemyss’s Homological Minimal Model Program and the relations between these topics.</p>

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Relative singularity categories III: cluster resolutions

  • Martin Kalck,
  • Dong Yang

摘要

We build the foundation of an approach studying the canonical form of 2-Calabi–Yau triangulated categories with cluster-tilting objects using dg algebras and relative singularity categories. This is motivated by cluster theory, singularity categories and Wemyss’s Homological Minimal Model Program and the relations between these topics.