Graded mutation in cluster categories coming from hereditary categories with a tilting object

Abstract

We present a graded mutation rule for quivers of cluster-tilted algebras. Furthermore, we give a technique to recover a cluster-tilting object from its graded quiver in the cluster category of coh $\mathbb{X}$.

32 pages

References in corpus (2)

• On triangulated orbit categories
• Introduction to coherent sheaves on weighted projective lines

Cited by in corpus (1)

• APR tilting modules and graded quivers with potential