A comment on the paper "Continued fractions and orderings on the Markov numbers, Adv. Math. 370 (2020), 107231"

TL;DR

This paper critically examines the proof of the fixed numerator conjecture on Markov numbers, questioning its validity and contributing to the ongoing discussion on the mathematical properties of Markov numbers.

Contribution

It provides an analysis that challenges the correctness of the proof of the fixed numerator conjecture on Markov numbers.

Findings

The proof of the fixed numerator conjecture may contain gaps or errors.

The discussion clarifies the current status of the conjecture's proof.

Highlights the need for further verification of the original proof.

Abstract

We discuss the validity of the proof of the fixed numerator conjecture on Markov numbers, which is the main result of the paper mentioned in the title.