Drawing bers embeddings of the teichmüller space of once-punctured tori

Yohei Komori, Toshiyuki Sugawa, Masaaki Wada, Yasushi Yamashita

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We present a computer-oriented method of producing pictures of Bers embeddings of the Teichmüller space of once-punctured tori. The coordinate plane is chosen in such a way that the accessory parameter is hidden in the relative position of the origin. Our algorithm consists of two steps. For each point in the coordinate plane, we first compute the corresponding monodromy representation by numerical integration along certain loops. Then we decide whether the representation is discrete by applying Jørgensen’s theory on the quasi-Fuchsian space of once-punctured tori.

本文言語English
ページ(範囲)51-60
ページ数10
ジャーナルExperimental Mathematics
15
1
DOI
出版ステータスPublished - 2006
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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