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Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

If (A, B) and (A ', B') are co-t-structures of a triangulated category, then (A ', B ') is called intermediate if A subset of A ' subset of Sigma A. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support tau - tilting subcategories under some assumptions. We also show that support tau - tilting subcategories are in bijection with certain finitely generated torsion classes. These results generalise work by Adachi, Iyama, and Reiten.

Publication metadata

Author(s): Iyama O, Jorgensen P, Yang D

Publication type: Article

Publication status: Published

Journal: Algebra & Number Theory

Year: 2014

Volume: 8

Issue: 10

Pages: 2413-2431

Online publication date: 31/12/2014

Acceptance date: 06/12/2014

ISSN (print): 1937-0652

ISSN (electronic): 1944-7833

Publisher: Mathematical Sciences Publishers

URL: http://dx.doi.org/10.2140/ant.2014.8.2413

DOI: 10.2140/ant.2014.8.2413

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