Simple geodesics and a series constant over Teichmuller space
| Autor: | Greg McShane |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Cusp (singularity)
Teichmüller space Pure mathematics Mathematics::Dynamical Systems Series (mathematics) Geodesic General Mathematics Mathematical analysis Mathematics::General Topology Cantor function Surface (topology) Mathematics::Geometric Topology Cantor set symbols.namesake symbols Derived set Mathematics |
| Zdroj: | Inventiones Mathematicae. 132:607-632 |
| ISSN: | 1432-1297 0020-9910 |
| DOI: | 10.1007/s002220050235 |
| Popis: | We investigate the Birman Series set in a neighborhood of a cusp on a punctured surface, showing that it is homeomorphic to a Cantor set union countably many isolated points cross a line. The local topology of the Cantor set is shown to be related in a simple way to the global behavior of simple geodesics. From this we deduce that a certain series is constant across the Teichmuller space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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