Enumerating m-clusters using exceptional sequences

Abstract

We give a bijection between ordered $m$-clusters and (complete) $m$-exceptional sequences, a concept that we introduce for this purpose. This holds for all hereditary artin algebras. This extends the bijection in the $m=1$ case shown in arXiv:1706.02041.

18 pages, no figures, presented at Workshop on Cluster Algebras and Related Topics at the Chern Institute at Nankai University in July, 2017