Weierstrass Points and Simple Geodesics
نویسنده
چکیده
We investigate the set of tangent vectors at a Weierstrass point tangent to complete simple geodesics, which we think of as an innnitesimal version of the Birman Series set, showing that they are a Cantor set of Haus-dorr dimension 1. The gaps in the Cantor set are classiied in terms of the topological behavior of those geodesics tangent to the vector bounding them and deduce 3 new identities for the lengths of simple geodesics. The method is broadly similar to that of 10], however, we make fundamental use of several diierent ideas 1. Introduction In 9] we announced the discovery of the following curious and interesting identity
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