4.5 Article

A countable Teichmuller modular group

Journal

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 357, Issue 8, Pages 3119-3131

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-04-03765-1

Keywords

Teichmuller space; quasiconformal mapping class group; hyperbolic Riemann surface; pants decomposition

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We construct an example of a Riemann surface of infinite topological type for which the Teichmuller modular group consists of only a countable number of elements. We also consider distinguished properties which the Teichmuller space of this Riemann surface possesses.

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