TL;DR
This paper establishes a connection between Markov fractions and Cohn matrices, providing a new rule for continued fractions on the Conway topograph.
Contribution
It demonstrates that Markov fractions coincide with Cohn matrix indices, offering a simplified concatenation rule for related continued fractions.
Findings
Markov fractions and Cohn matrix indices are equivalent.
A new concatenation rule for continued fractions is derived.
The results relate to the structure of the Conway topograph.
Abstract
We show that the Markov fractions introduced recently by Springborn coincide with the index of the Cohn matrices defined by Aigner. This provides a simple concatenation rule for the corresponding continued fractions on the Conway topograph.
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