20/06/28 17:20:05.27 bfBvt+85.net
参考
URLﾘﾝｸ(waseda.pure.elsevier.com)
URLﾘﾝｸ(www.ams.org)
URLﾘﾝｸ(www.ams.org)
CONFORMAL GEOMETRY AND DYNAMICS
An Electronic Journal of the American Mathematical Society
Volume 8, Pages 115?142 (June 8, 2004)
S 1088-4173(04)00108-0
BERS EMBEDDING OF THE TEICHMULLER SPACE ¨
OF A ONCE-PUNCTURED TORUS
YOHEI KOMORI AND TOSHIYUKI SUGAWA
Abstract. 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
Teichm¨uller 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.
URLﾘﾝｸ(arimoto.lolipop.jp)
Introduction to Teichm¨uller Spaces
Jing Tao
Notes by Serena Yuan
URLﾘﾝｸ(www.acadsci.fi)
Annales Academia Scientiarum Fennica
Mathematica
Volumen 24, 1999, 305?342
THE OUTSIDE OF THE TEICHMULLER SPACE OF ¨
PUNCTURED TORI IN MASKIT’S EMBEDDING
Jouni Parkkonen
Universityof Jyv¨askyl¨a, Department of Mathematics
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