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Torsion pairs in a triangulated category generated by a spherical object

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Torsion pairs in a triangulated category generated by a spherical object. / Coelho Simoes, Raquel; Pauksztello, David.
In: Journal of Algebra, Vol. 448, 15.02.2016, p. 1-47.

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

Harvard

Coelho Simoes, R & Pauksztello, D 2016, 'Torsion pairs in a triangulated category generated by a spherical object', Journal of Algebra, vol. 448, pp. 1-47. https://doi.org/10.1016/j.jalgebra.2015.09.011

APA

Coelho Simoes, R., & Pauksztello, D. (2016). Torsion pairs in a triangulated category generated by a spherical object. Journal of Algebra, 448, 1-47. https://doi.org/10.1016/j.jalgebra.2015.09.011

Vancouver

Coelho Simoes R, Pauksztello D. Torsion pairs in a triangulated category generated by a spherical object. Journal of Algebra. 2016 Feb 15;448:1-47. Epub 2015 Dec 3. doi: 10.1016/j.jalgebra.2015.09.011

Author

Coelho Simoes, Raquel ; Pauksztello, David. / Torsion pairs in a triangulated category generated by a spherical object. In: Journal of Algebra. 2016 ; Vol. 448. pp. 1-47.

Bibtex

@article{746c1eb5cc4643f4aa8ca39ca0064ea2,
title = "Torsion pairs in a triangulated category generated by a spherical object",
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.",
keywords = "Auslander–Reiten theory, Calabi–Yau triangulated category, Spherical object, Ptolemy arc, Torsion pair",
author = "{Coelho Simoes}, Raquel and David Pauksztello",
year = "2016",
month = feb,
day = "15",
doi = "10.1016/j.jalgebra.2015.09.011",
language = "English",
volume = "448",
pages = "1--47",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - Torsion pairs in a triangulated category generated by a spherical object

AU - Coelho Simoes, Raquel

AU - Pauksztello, David

PY - 2016/2/15

Y1 - 2016/2/15

N2 - 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.

AB - 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.

KW - Auslander–Reiten theory

KW - Calabi–Yau triangulated category

KW - Spherical object

KW - Ptolemy arc

KW - Torsion pair

U2 - 10.1016/j.jalgebra.2015.09.011

DO - 10.1016/j.jalgebra.2015.09.011

M3 - Journal article

VL - 448

SP - 1

EP - 47

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -