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

Peter Jorgensen; David Pauksztello

doi:10.1016/j.jpaa.2014.05.015

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arXiv · 1212.2883

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

Peter Jorgensen·David Pauksztello

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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 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, $D^b(KQ)$, to obtain a classification of co-t-structures in $D^b(Q)$. This is then used to compute the co-stability manifold of $D^b(KQ)$.

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BibTeX RIS

Peter Jorgensen, David Pauksztello. 2012-12-12. Classification of co-slicings and co-t-structures for the Kronecker algebra. https://doi.org/10.1016/j.jpaa.2014.05.015

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