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arXiv · 2006.09733

Relative singularity categories III: Cluster resolutions

Martin Kalck·Dong Yang
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Abstract

We build foundations of an approach to study canonical forms 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, Wemyss's Homological Minimal Model Program and the relations between these topics.

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Martin Kalck, Dong Yang. 2020-06-17. Relative singularity categories III: Cluster resolutions. https://arxiv.org/abs/2006.09733

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