51 citations · 264 across the 70 of their papers we have counts for
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math.RT2013★ 51 cited
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-…
math.RT2013★ 2 cited
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…
math.RT2013
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…