Abstract
We construct an example of a Riemann surface of infinite topological type for which the Teichmüller modular group consists of only a countable number of elements. We also consider distinguished properties which the Teichmüller space of this Riemann surface possesses.
Original language | English |
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Pages (from-to) | 3119-3131 |
Number of pages | 13 |
Journal | Transactions of the American Mathematical Society |
Volume | 357 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2005 Aug |
Externally published | Yes |
Keywords
- Hyperbolic Riemann surface
- Pants decomposition
- Quasiconformal mapping class group
- Teichmüller space
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics