Minimal mutation-infinite quivers

Abstract

Quivers constructed from hyperbolic Coxeter simplices give examples of minimal mutation-infinite quivers, however they are not the only such quivers. We classify minimal mutation-infinite quivers through a number of moves and link the representatives of the classes with the hyperbolic Coxeter simplices, plus exceptional classes which are not related to simplices.

15 pages + appendices, many figures

References in corpus (2)

• From triangulated categories to cluster algebras
• Minimal mutation-infinite quivers

Cited by in corpus (2)

• Legendrian Weaves: N-graph Calculus, Flag Moduli and Applications
• Minimal mutation-infinite quivers