A countable Teichmüller modular group

Katsuhiko Matsuzaki

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

A countable Teichmüller modular group

Katsuhiko Matsuzaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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

Keywords

Hyperbolic Riemann surface
Pants decomposition
Quasiconformal mapping class group
Teichmüller space

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-04-03765-1

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abstract = "We construct an example of a Riemann surface of infinite topological type for which the Teichm{\"u}ller modular group consists of only a countable number of elements. We also consider distinguished properties which the Teichm{\"u}ller space of this Riemann surface possesses.",

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KW - Hyperbolic Riemann surface

KW - Pants decomposition

KW - Quasiconformal mapping class group

KW - Teichmüller space

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A countable Teichmüller modular group

Abstract

Keywords

ASJC Scopus subject areas

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