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

TY - JOUR

T1 - Classification of co-slicings and co-t-structures for the Kronecker algebra

AU - Jørgensen, Peter

AU - Pauksztello, David

N1 - Publisher Copyright: © 2014 Elsevier B.V.

PY - 2015/3/1

Y1 - 2015/3/1

N2 - 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 Bridgeland'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, Db(KQ), to obtain a classification of co-t-structures in Db(KQ). This is then used to compute the co-stability manifold of Db(KQ).

AB - 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 Bridgeland'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, Db(KQ), to obtain a classification of co-t-structures in Db(KQ). This is then used to compute the co-stability manifold of Db(KQ).

UR - http://www.scopus.com/inward/record.url?scp=84918809914&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2014.05.015

DO - 10.1016/j.jpaa.2014.05.015

M3 - Journal article

AN - SCOPUS:84918809914

SN - 0022-4049

VL - 219

SP - 569

EP - 590

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -