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

Peter Jørgensen ^[1] ; David Pauksztello ^[2]
1. [1] Newcastle University
  
  Newcastle University
  
  Reino Unido
2. [2] University of Manchester
  
  University of Manchester
  
  Reino Unido
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 569-590
Idioma: inglés
DOI: 10.1016/j.jpaa.2014.05.015
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Resumen
- 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)Db(KQ), to obtain a classification of co-t-structures in Db(KQ)Db(KQ). This is then used to compute the co-stability manifold of Db(KQ)Db(KQ).