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arXiv · 2503.21872

Super Markov Numbers and Signed Double Dimer Covers

Gregg Musiker
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Abstract

We provide a superalgebraic analogue of Markov numbers, which are defined as the Grassmann integer solutions to the equation $x^2 + y^2 + z^2 + (xy + yz + xz)ε= 3(1 + ε)xyz$, as well as applications to the Decorated Super Teichmüller spaces associated to the once-punctured torus and certain annuli. We conclude with further directions for study.

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Gregg Musiker. 2025-03-27. Super Markov Numbers and Signed Double Dimer Covers. https://arxiv.org/abs/2503.21872

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