English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper investigates a certain 2-Calabi-Yau triangulated category D whoseAuslander-Reiten quiver is ZA_{\infty}. We show that the cluster tiltingsubcategories of D form a so-called cluster structure, and we classify thesesubcategories in terms of what one may call `triangulations of theinfinity-gon'. This is reminiscent of the cluster category C of type A_n whichis a 2-Calabi-Yau triangulated category whose Auslander-Reiten quiver is aquotient of ZA_n. The cluster tilting subcategories of C form a clusterstructure and they are classified in terms of triangulations of the (n+3)-gon.The category D behaves like a `cluster category of type A_{\infty}'.

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