Exceptional sequences are certain sequences of quiver representations. We introduce a
class of objects called strand diagrams and use these to classify exceptional sequences of …

Exceptional sequences are certain ordered sequences of quiver representations. We
introduce a class of objects called strand diagrams and use this model to classify …

Exceptional collections, clusters, t-structures, and the relationship between them A Dissertation
Presented to The Faculty of th Page 1 Exceptional collections, clusters, t-structures, and the …

It is known that there are infinitely many exceptional sequences of quiver representations for
Euclidean quivers. In this paper we study those of type $\tilde {\mathbb {A}} _n $ and classify …

The exchange graph of a quiver is the graph of mutation-equivalent quivers whose edges
correspond to mutations. The exchange graph admits a natural acyclic orientation called the …