Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X37No. 220110715AN INTRODUCTION TO HIGHER CLUSTER
CATEGORIES137157329ENA.BUANJournal Article20101220In this survey, we give an overview over some aspects
of the set of tilting objects in an $m-$cluster category, with focus
on those properties which are valid for all $m geq 1$. We focus on the
following three combinatorial aspects: modeling the set of tilting
objects using arcs in certain polygons, the generalized assicahedra
of Fomin and Reading, and colored quiver mutation.http://bims.iranjournals.ir/article_329_995a3b87119ae4d18ab2fb1a2224a40c.pdf