Cluster categories of type \({\mathbb {A}}_\infty ^\infty \) and triangulations of the infinite strip

DOI10.1007/s00209-016-1760-4zbMath1375.13037arXiv1505.06062OpenAlexW2963727981MaRDI QIDQ2277908

Charles Paquette, Shiping Liu

Publication date: 7 June 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06062

zbMATH Keywords

derived categoryAuslander-Reiten theorycluster categorycluster-tilting subcategorygeometric triangulation\(2\)-Calabi-Yau categoryrepresentation of infinite quiver

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type \(A_{ \infty }\) ⋮ Cluster algebras and continued fractions ⋮ Cotorsion pairs in cluster categories of type \(A_\infty^\infty\) ⋮ Maximal rigid subcategories and cluster-tilting subcategories in 2-CY categories ⋮ On a cluster category of type D infinity ⋮ Triangulated categories with cluster tilting subcategories ⋮ Infinite rank surface cluster algebras ⋮ Cyclic posets and triangulation clusters

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