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On the horocyclic coordinate for the Teichmüller space of once punctured tori

Author: Hideki Miyachi
Journal: Proc. Amer. Math. Soc. 130 (2002), 1019-1029
MSC (2000): Primary 30F40, 32G15
Published electronically: November 28, 2001
MathSciNet review: 1873775
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Abstract: This paper deals with analytic and geometric properties of the Maskit embedding of the Teichmüller space of once punctured tori. We show that the image of this embedding has an inward-pointing cusp and study the boundary behavior of conformal automorphisms. These results are proved using Y.N. Minsky's Pivot Theorem.

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Additional Information

Hideki Miyachi
Affiliation: Department of Mathematics, Osaka City University, Sumiyoshi, Osaka 558-8585, Japan

Received by editor(s): May 25, 1999
Received by editor(s) in revised form: September 25, 2000
Published electronically: November 28, 2001
Additional Notes: The author is partially supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists from April, 2000.
Dedicated: Dedicated to Professor Hiroki Sato on the occasion of his sixtieth birthday
Communicated by: Albert Baernstein II
Article copyright: © Copyright 2001 Hideki Miyachi