Cyclically ordered quivers
Representation Theory
2026-05-20 v3 Combinatorics
Rings and Algebras
Abstract
A cyclically ordered quiver is a quiver endowed with an additional structure of a cyclic ordering of its vertices. This structure, which naturally arises in many important applications, gives rise to new powerful mutation invariants.
Keywords
Cite
@article{arxiv.2406.03604,
title = {Cyclically ordered quivers},
author = {Sergey Fomin and Scott Neville},
journal= {arXiv preprint arXiv:2406.03604},
year = {2026}
}
Comments
70 pages, 35 figures. v2: Major revision and expansion. v3: Final version, to appear in Advances in Math