51 citations · 264 across the 70 of their papers we have counts for
4 papers · 1 filter
Duality for cochain DG algebras
Peter Jorgensen
This paper develops a duality theory for connected cochain DG algebras, with particular emphasis on the non-commutative aspects. One of the main items is a dualizing DG module whic…
Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type A_n
Thorsten Holm, Peter Jorgensen, Martin Rubey
We give a complete classification of torsion pairs in the cluster category of Dynkin type A_n. Along the way we give a new combinatorial description of Ptolemy diagrams, an infinit…
A Caldero-Chapoton map for infinite clusters
Peter Jorgensen, Yann Palu
We construct a Caldero-Chapoton map on a triangulated category with a cluster tilting subcategory which may have infinitely many indecomposable objects. The map is not necessarily…
Symmetric Auslander and Bass categories
Peter Jorgensen, Kiriko Kato
We define the symmetric Auslander category A^s(R) to consist of complexes of projective modules whose left- and right-tails are equal to the left- and right tails of totally acycli…