Cluster categories, m-cluster categories and diagonals in polygons

Abstract

The goals of this expository article are on one hand to describe how to construct ($m$-) cluster categories from triangulations (resp. from $m+2$-angulations) of polygons. On the other hand, we explain how to use translation quivers and their powers to obtain the $m$-cluster categories directly from the diagonals of a polygon.

References in corpus (3)

• On triangulated orbit categories
• A geometric description of the m-cluster categories of type D_n
• Representations of quivers via reflection functors

Cited by in corpus (2)

• An introduction to higher cluster categories
• Learning scattering amplitudes by heart