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Equivalent curves in surfaces

Christopher J. Leininger
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Abstract

We consider various equivalence relations on the set of homotopy classes of curves on a hyperbolic surface based on topological, algebraic, and geometric structures. The purpose of this work is to determine the relationship between these equivalences.

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Christopher J. Leininger. 2003-02-23. Equivalent curves in surfaces. https://arxiv.org/abs/math/0302280

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