A countable Teichmüller modular group

Katsuhiko Matsuzaki

doi:10.1090/S0002-9947-04-03765-1

A countable Teichmüller modular group

Katsuhiko Matsuzaki

Research output: Contribution to journal › Article

12 Citations (Scopus)

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
Pages (from-to)	3119-3131
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	357
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9947-04-03765-1
Publication status	Published - 2005 Aug
Externally published	Yes

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Keywords

Hyperbolic Riemann surface
Pants decomposition
Quasiconformal mapping class group
Teichmüller space

ASJC Scopus subject areas

Mathematics(all)

Cite this

Matsuzaki, K. (2005). A countable Teichmüller modular group. Transactions of the American Mathematical Society, 357(8), 3119-3131. https://doi.org/10.1090/S0002-9947-04-03765-1

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Access to Document

10.1090/S0002-9947-04-03765-1