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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 the latter we give along the way different combinatorial descriptions. One of these allows us to count the number of torsion pairs in the cluster category of type Dn by providing their generating function explicitly. (C) 2013 Elsevier Inc. All rights reserved.
Author(s): Holm T, Jorgensen P, Rubey M
Publication type: Article
Publication status: Published
Journal: Advances in Applied Mathematics
Year: 2013
Volume: 51
Issue: 5
Pages: 583-605
Print publication date: 01/10/2013
Online publication date: 09/09/2013
Acceptance date: 26/07/2013
ISSN (print): 0196-8858
ISSN (electronic): 1090-2074
Publisher: Academic Press
URL: http://dx.doi.org/10.1016/j.aam.2013.07.005
DOI: 10.1016/j.aam.2013.07.005
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