14 citations · 14 across the 4 of their papers we have counts for
4 papers
Weak stability conditions and the space of chains of torsion classes
Aran Tattar, Hipolito Treffinger
In this paper we show an explicit relation between chains of torsion classes and weak stability conditions over an abelian category. In particular, up to a natural equivalence, the…
A geometric perspective on the -cluster morphism category
Sibylle Schroll, Aran Tattar, Hipolito Treffinger +1
We show how the -cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that t…
Stability spaces of string and band modules
Sibylle Schroll, Aran Tattar, Hipolito Treffinger +2
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from consi…
Torsion pairs and quasi-abelian categories
Aran Tattar
We define torsion pairs for quasi-abelian categories and give several characterisations. We show that many of the torsion theoretic concepts translate from abelian categories to qu…