English

Equivalent curves in surfaces

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0302280,
  title  = {Equivalent curves in surfaces},
  author = {Christopher J. Leininger},
  journal= {arXiv preprint arXiv:math/0302280},
  year   = {2007}
}

Comments

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