On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon

By Thorsten Holm, Peter Jørgensen. 2012

76 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/57331200a03f95a8bca57324252bff9629cb6f1d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Kiyoshi Igusa
2. G. Todorov
3. Shiping Liu
4. Osamu Iyama
5. Jiaqun Wei
6. Shigeyuki Morita
7. Nariya Kawazumi
8. Mark G. Walsh

In Geometry and Topology

1. Kiyoshi Igusa
2. G. Todorov
3. Shiping Liu
4. Osamu Iyama
5. Jiaqun Wei
6. I. Reiten
7. Changchang Xi
8. Bin Zhu

In Mathematical Physics

1. Kiyoshi Igusa
2. G. Todorov
3. Shiping Liu
4. Shigeyuki Morita
5. Nariya Kawazumi
6. Mark G. Walsh

Citations in the corpus

• Representation theory of strongly locally finite quivers (2013, background): “More recently, Holm and Jørgensen studied a cluster category of infinite Dynkin type, which can be constructed from the category of finite dimensional representations of a quiver of type A∞ and whose Auslander-Reiten quiver is of shape ZA∞; see [22].”
• Cluster Categories Coming from Cyclic Posets (2013, methodology): “The continuous cluster categories of [14], the infinitygon of [12], and the m-cluster category of type A (m ≥ 3) [13] are examples of this construction as well as some new examples such as the cluster category of 2.”