A \(q\)-analog of the Markoff injectivity conjecture holds

DOI10.5802/alco.322arXiv2212.09852MaRDI QIDQ6119520

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Publication date: 1 March 2024

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09852

zbMATH Keywords

Markoff number\(q\)-analogChristoffel word

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorics on words (68R15) Markov and Lagrange spectra and generalizations (11J06)

Cites Work

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• \(q\)-deformations in the modular group and of the real quadratic irrational numbers
• Rank polynomials of fence posets are unimodal
• Knot theory and cluster algebras
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• Christoffel Words and Markoff Triples
• Combinatorics on Words
• From Christoffel Words to Markoff Numbers
• The $q$-analog of the Markoff injectivity conjecture over the language of a balanced sequence
• The $*$-Markov equation for Laurent polynomials
• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS
• On a rank-unimodality conjecture of Morier-Genoud and Ovsienko

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