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MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics



Funded by The Danish National Research Foundation
Geometric Mathematical Physics Seminar
Wednesday, 18 August 2004, at 16:15 in D3
Vladimir Turaev
Institut de Recherche Mathématique Avancée, Strasbourg, France
Curves on surfaces, charts, and words

Abstract
I will give a combinatorial description of closed curves on surfaces in terms of certain permutations called charts. Automorphisms of curves will be described in terms of charts and then the total number of topological types of curves will be computed. At the end I will discuss relations between charts, curves, words, and complex structures on surfaces.

Contact person:Jørgen Ellegaard Andersen.