Markov's Conjecture on integral necklaces
Geometric Topology
2025-08-12 v3 Combinatorics
Number Theory
Abstract
We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum on the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.
Keywords
Cite
@article{arxiv.2501.15550,
title = {Markov's Conjecture on integral necklaces},
author = {David Fisac},
journal= {arXiv preprint arXiv:2501.15550},
year = {2025}
}
Comments
10 pages, 3 figures