22 citations · 137 across the 35 of their papers we have counts for
31 papers · 1 filter
Virtual mutations of weighted surface algebras
Thorsten Holm, Andrzej Skowroński, Adam Skowyrski
The finite-dimensional symmetric algebras over an algebraically closed field, based on surface triangulations, motivated by the theory of cluster algebras, have been extensively in…
Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type
Sira Gratz, Thorsten Holm, Peter Jorgensen
We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type .
Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object, II
Thorsten Holm, Peter Jorgensen
It is an important aspect of cluster theory that cluster categories are "categorifications" of cluster algebras. This is expressed formally by the (original) Caldero-Chapoton map X…
Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object
Thorsten Holm, Peter Jorgensen
The (usual) Caldero-Chapoton map is a map from the set of objects of a category to a Laurent polynomial ring over the integers. In the case of a cluster category, it maps "reachabl…
Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster category of Dynkin type D_n, via a bijection to new combinatorial objects called Ptolemy diagrams of type D. For t…
Torsion pairs in cluster tubes
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster categories associated to tubes of finite rank. The classification is in terms of combinatorial objects called Ptol…