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October, 2021 Teichmüller space and the mapping class group of the twice punctured torus
Toshihiro NAKANISHI
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J. Math. Soc. Japan 73(4): 1221-1252 (October, 2021). DOI: 10.2969/jmsj/84998499

Abstract

We introduce coordinate systems to the Teichmüller space of the twice-punctured torus and give matrix representations for the points of Teichmüller space. The coordinate systems allow representation of the mapping class group of the twice punctured torus as a group of rational transformations and provide several applications to the mapping class group and also to Kleinian groups.

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Toshihiro NAKANISHI. "Teichmüller space and the mapping class group of the twice punctured torus." J. Math. Soc. Japan 73 (4) 1221 - 1252, October, 2021. https://doi.org/10.2969/jmsj/84998499

Information

Received: 8 June 2020; Published: October, 2021
First available in Project Euclid: 22 June 2021

Digital Object Identifier: 10.2969/jmsj/84998499

Subjects:
Primary: 32G15
Secondary: 30F35 , 30F60

Keywords: Fuchsian groups , Kleinian groups , mapping class group , Teichmüller space

Rights: Copyright ©2021 Mathematical Society of Japan

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Vol.73 • No. 4 • October, 2021
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