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Torsion pairs in a triangulated category generated by a spherical object

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>15/02/2016
<mark>Journal</mark>Journal of Algebra
Volume448
Number of pages47
Pages (from-to)1-47
Publication StatusPublished
Early online date3/12/15
<mark>Original language</mark>English

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, Tw, generated by a w-spherical object for any w∈Z. Inspired by the combinatorics of Tw for w⩽−1, we also characterise the torsion pairs in certain negative Calabi–Yau orbit categories of the bounded derived category of the path algebra of Dynkin type A.