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2006 Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori
Yohei Komori, Toshiyuki Sugawa, Masaaki Wada, Yasushi Yamashita
Experiment. Math. 15(1): 51-60 (2006).


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.


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Yohei Komori. Toshiyuki Sugawa. Masaaki Wada. Yasushi Yamashita. "Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori." Experiment. Math. 15 (1) 51 - 60, 2006.


Published: 2006
First available in Project Euclid: 16 June 2006

zbMATH: 1106.30027
MathSciNet: MR2229385

Primary: 30F40 , 30F60 , 32G15

Keywords: Bers embedding , Kleinian groups , Teichmüller space

Rights: Copyright © 2006 A K Peters, Ltd.


Vol.15 • No. 1 • 2006
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