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Lookup NU author(s): Professor Peter Jorgensen
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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.
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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