The limiting shape of one-dimensional Teichmüller spaces

Toshiyuki Sugawa

doi:10.1090/S0002-9939-08-09428-8

The limiting shape of one-dimensional Teichmüller spaces

Toshiyuki Sugawa

INF - Computer and Mathematical Sciences

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

Abstract

We show that the Bers embedding of the Teichmüller space of a once-punctured torus converges to the cardioid in the sense of Carathéodory up to rotation when the base torus goes to the boundary of its moduli space.

Original language	English
Pages (from-to)	2849-2858
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-08-09428-8
Publication status	Published - 2008 Aug

Keywords

Cardioid
Holomorphic motion
Once-punctured torus
Teichmüller space

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "The limiting shape of one-dimensional Teichm{\"u}ller spaces",

abstract = "We show that the Bers embedding of the Teichm{\"u}ller space of a once-punctured torus converges to the cardioid in the sense of Carath{\'e}odory up to rotation when the base torus goes to the boundary of its moduli space.",

keywords = "Cardioid, Holomorphic motion, Once-punctured torus, Teichm{\"u}ller space",

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AB - We show that the Bers embedding of the Teichmüller space of a once-punctured torus converges to the cardioid in the sense of Carathéodory up to rotation when the base torus goes to the boundary of its moduli space.

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KW - Holomorphic motion

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KW - Teichmüller space

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The limiting shape of one-dimensional Teichmüller spaces

Abstract

Keywords

ASJC Scopus subject areas

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