Applications of the Dynnikov coordinate system on the boundary of Teichmüller space

Abstract

The Dynnikov coordinate system puts global coordinates on the boundary of Teichmüller space of an $n$--punctured disk. We survey the Dynnikov coordinate system, and investigate how we use this coordinate system to study pseudo--Anosov braids making use of results from Thurston's theory on surface homeomorphisms.

To appear in Teichmuller theory and its impact, Advanced Lectures in Mathematics

References in corpus (1)

• Topological Entropy of Braids on the Torus