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Lookup NU author(s): Professor Peter Jorgensen
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In this paper we introduce the notion of a 'generalised' co-slicing of a triangulated category. This generalises the theory of co-stability conditions in a manner analogous to the way in which Gorodentsev, Kuleshov and Rudakov's t-stabilities generalise Bridge land's theory of stability conditions. As an application of this notion, we use a complete classification of 'generalised' co-slicings in the bounded derived category of the Kronecker algebra, D-b(KQ), to obtain a classification of co-t-structures in W(W). This is then used to compute the co-stability manifold of D-b(KQ). 2014 Elsevier B.V All rights reserved.
Author(s): Jorgensen P, Pauksztello D
Publication type: Article
Publication status: Published
Journal: Journal of Pure and Applied Algebra
Year: 2015
Volume: 219
Issue: 3
Pages: 569-590
Print publication date: 01/03/2015
Online publication date: 17/06/2014
ISSN (print): 0022-4049
ISSN (electronic): 1873-1376
Publisher: Algebra Elsevier BV
URL: http://dx.doi.org/10.1016/j.jpaa.2014.05.015
DOI: 10.1016/j.jpaa.2014.05.015
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