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Classification of co-slicings and co-t-structures for the Kronecker algebra

Lookup NU author(s): Professor Peter Jorgensen

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Abstract

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.

Publication metadata

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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