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 languageEnglish
Pages (from-to)3119-3131
Number of pages13
JournalTransactions of the American Mathematical Society
Volume357
Issue number8
DOIs
Publication statusPublished - 2005 Aug
Externally publishedYes

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Modular Group
Riemann Surface
Countable

Keywords

  • Hyperbolic Riemann surface
  • Pants decomposition
  • Quasiconformal mapping class group
  • Teichmüller space

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A countable Teichmüller modular group. / Matsuzaki, Katsuhiko.

In: Transactions of the American Mathematical Society, Vol. 357, No. 8, 08.2005, p. 3119-3131.

Research output: Contribution to journal › Article

Matsuzaki, K 2005, 'A countable Teichmüller modular group', Transactions of the American Mathematical Society, vol. 357, no. 8, pp. 3119-3131. https://doi.org/10.1090/S0002-9947-04-03765-1
Matsuzaki K. A countable Teichmüller modular group. Transactions of the American Mathematical Society. 2005 Aug;357(8):3119-3131. https://doi.org/10.1090/S0002-9947-04-03765-1
Matsuzaki, Katsuhiko. / A countable Teichmüller modular group. In: Transactions of the American Mathematical Society. 2005 ; Vol. 357, No. 8. pp. 3119-3131.
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