A geometric model for cluster categories of type Dn
By Ralf Schiffler. 2006
119 citations recorded by the source corpus.
Abstract We give a geometric realization of cluster categories of type Dn using a polygon with n vertices and one puncture in its center as a model. In this realization, the indecomposable objects of the cluster category correspond to certain homotopy classes of paths between two vertices.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8545961a41e6379f3722acb571a268605b1b2a8e
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In Algebra and Number Theory
- Thomas Brustle
- Daniel Labardini-Fragoso
- I. Reiten
- Pierre-Guy Plamondon
- B. Keller
- Ibrahim Assem
- Gabrielle Charbonneau-Jodoin
- Osamu Iyama
In Geometry and Topology
- Thomas Brustle
- Pierre-Guy Plamondon
- Daniel Labardini-Fragoso
- B. Keller
- I. Reiten
- Ibrahim Assem
- Ralf Schiffler
- Osamu Iyama
In Mathematical Physics
- Thomas Brustle
- Daniel Labardini-Fragoso
- Ibrahim Assem
- I. Reiten
- Pierre-Guy Plamondon
- J. Št’ovíček
- Chrysostomos Psaroudakis
- Bernard Leclerc
Citations in the corpus
- Quivers with potentials associated to triangulated surfaces, part IV: removing boundary assumptions (2012, background): “[21]), although these authors did not use the language of potentials and Jacobian algebras in the referred papers.”
- Gentle algebras arising from surface triangulations (2009, background): “For instance, a once-punctured disc gives rise to cluster-tilted algebras of type D [Schiffler 2008].”
- Cluster categories (2010, background): “There is also further work in this direction for Dn [105].”