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arXiv · 1404.4623

Torsion pairs in a triangulated category generated by a spherical object

Raquel Coelho Simoes·David Pauksztello
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Abstract

We extend Ng's characterisation of torsion pairs in the 2-Calabi-Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi-Yau triangulated category, $T_w$, generated by a w-spherical object for any integer w. Inspired by the combinatorics of $T_w$ for w < 0, we also characterise the torsion pairs in a certain w-Calabi-Yau orbit category of the bounded derived category of the path algebra of Dynkin type A.

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Raquel Coelho Simoes, David Pauksztello. 2015-11-06. Torsion pairs in a triangulated category generated by a spherical object. https://arxiv.org/abs/1404.4623

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