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