51 citations · 264 across the 70 of their papers we have counts for
4 papers · 1 filter
Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes
Osamu Iyama, Peter Jorgensen, Dong Yang
If (A,B) and (A',B') are co-t-structures of a triangulated category, then (A',B') is called intermediate if A \subseteq A' \subseteq ΣA. Our main results show that intermediate co-…
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…
Generalized frieze pattern determinants and higher angulations of polygons
Christine Bessenrodt, Thorsten Holm, Peter Jorgensen
Frieze patterns (in the sense of Conway and Coxeter) are in close connection to triangulations of polygons. Broline, Crowe and Isaacs have assigned a symmetric matrix to each polyg…
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…