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A geometric description of the m-cluster categories of type D_n

Authors
  • Baur, Karin
  • Marsh, Robert J.
Type
Published Article
Publication Date
Oct 17, 2006
Submission Date
Oct 17, 2006
Identifiers
DOI: 10.1093/imrn/rnm011
arXiv ID: math/0610512
Source
arXiv
License
Unknown
External links

Abstract

We show that the m-cluster category of type D_n is equivalent to a certain geometrically-defined category of arcs in a punctured regular nm-m+1-gon. This generalises a result of Schiffler for m=1. We use the notion of the mth power of a translation quiver to realise the m-cluster category in terms of the cluster category.

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