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- W2129484829 abstract "Abstract We exhibit a canonical geometric pairing of the simple closed curves of the degree three cover of the modular surface, Γ 3 ℋ, with the proper single self-intersecting geodesics of Crisp and Moran. This leads to a pairing of fundamental domains for Γ 3 with Markoff triples. The routes of the simple closed geodesics are directly related to the above. We give two parametrizations of these. Combining with work of Cohn, we achieve a listing of all simple closed geodesics of length within any bounded interval. Our method is direct, avoiding the determination of geodesic lengths below the chosen lower bound." @default.
- W2129484829 created "2016-06-24" @default.
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- W2129484829 date "2003-02-01" @default.
- W2129484829 modified "2023-09-26" @default.
- W2129484829 title "Parametrizing simple closed geodesy on Γ3ℋ" @default.
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- W2129484829 doi "https://doi.org/10.1017/s1446788700003116" @default.
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