4 papers
math.NT2026
Markov fractions and Cohn matrices
A. P. Veselov
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 th…
math.NT2025
Arithmetic and geometry of Markov polynomials
S. J. Evans, A. P. Veselov, B. Winn
Markov polynomials are the Laurent-polynomial solutions of the generalised Markov equation which are the results o…
math.NT2025
Markov fractions and the slopes of the exceptional bundles on
A. P. Veselov
We show that the Markov fractions introduced recently by Boris Springborn are precisely the slopes of the exceptional vector bundles on studied in 1980s by Drèzet an…
math.NT2024
Quantum Kronecker fractions
S. J. Evans, A. P. Veselov, B. Winn
A few years ago Morier-Genoud and Ovsienko introduced an interesting quantization of the real numbers as certain power series in a quantization parameter It is known now that…