English

A shadow Markov equation

Combinatorics 2023-03-09 v2

Abstract

We introduce a superanalogue of the classical Markov equation. This equation characterizes the ``shadow Markov numbers'' recently considered by one of us. We show that this equation is characterized by invariance by cluster algebra mutations.

Cite

@article{arxiv.2211.16087,
  title  = {A shadow Markov equation},
  author = {Nathan Bonin and Valentin Ovsienko},
  journal= {arXiv preprint arXiv:2211.16087},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-28T07:16:31.937Z