English

Mutation Cycles from Reddening Sequences

Combinatorics 2025-04-10 v1

Abstract

Given two quivers, each with a reddening sequence, we show how to construct a plethora of mutation cycles. We give several examples, including a generalization of the construction of long mutation cycles in earlier work by the second author. We also give new results on the reddening sequences of certain mutation-acyclic quivers and forks, classifying them in some cases.

Keywords

Cite

@article{arxiv.2504.06573,
  title  = {Mutation Cycles from Reddening Sequences},
  author = {Tucker J. Ervin and Scott Neville},
  journal= {arXiv preprint arXiv:2504.06573},
  year   = {2025}
}
R2 v1 2026-06-28T22:51:49.068Z