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

Miyachi, Hideki

doi:10.1090/S0002-9939-01-06170-6

On the horocyclic coordinate for the Teichmüller space of once punctured tori
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by Hideki Miyachi

Proc. Amer. Math. Soc. 130 (2002), 1019-1029

DOI: https://doi.org/10.1090/S0002-9939-01-06170-6

Published electronically: November 28, 2001

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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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