Equivalent curves in surfaces

2003/02/23 by Christopher J. Leininger, Leininger, Christopher J. · 1 citation
Mathematics · #51M25 #57M50 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:51M25 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0302280

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

arxiv created 2003/02/23 · openalex publication_date 2003/02/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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