Bers embedding of the Teichmüller space of a once-punctured torus

Yohei Komori*, Toshiyuki Sugawa

*この研究の対応する著者

研究成果: Article査読

6 被引用数 (Scopus)

抄録

In this note, we present a method of computing monodromies of projective structures on a once-punctured torus. This leads to an algorithm numerically visualizing the shape of the Bers embedding of a one-dimensional Teichmüller space. As a by-product, the value of the accessory parameter of a four-times punctured sphere will be calculated in a numerical way as well as the generators of a Fuchsian group uniformizing it. Finally, we observe the relation between the Schwarzian differential equation and Heun's differential equation in this special case.

本文言語English
ジャーナルConformal Geometry and Dynamics
8
出版ステータスPublished - 2004 12月 1
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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