AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES

Document Type: Other

Author

Abstract

In 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.

Keywords

History

• Receive Date: 20 December 2010
• Revise Date: 05 September 2011
• Accept Date: 06 September 2011