15 citations · 17 across the 13 of their papers we have counts for
4 papers · 2 filters
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…
Wall-and-chamber structures for finite-dimensional algebras and -tilting theory
Maximilian Kaipel, Hipolito Treffinger
The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship w…
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…
A characterisation of higher torsion classes
Jenny August, Johanne Haugland, Karin M. Jacobsen +3
Let be an abelian length category containing a -cluster tilting subcategory . We prove that a subcategory of is a -torsion class if a…