Equivalent curves in surfaces

Mathematics – Geometric Topology

Scientific paper

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To appear in Geometriae Dedicata, 23 pages, 8 figures, see also http://www.math.columbia.edu/~clein

Scientific paper

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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