Pleating coordinates for the Teichmüller space of a punctured torus
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- by Linda Keen and Caroline Series PDF
- Bull. Amer. Math. Soc. 26 (1992), 141-146 Request permission
Abstract:
We construct new coordinates for the Teichmüller space Teich of a punctured torus into ${\text {R}} \times {{\text {R}}^ + }$. The coordinates depend on the representation of Teich as a space of marked Kleinian groups ${G_\mu }$ that depend holomorphically on a parameter $\mu$ varying in a simply connected domain in C. They describe the geometry of the hyperbolic manifold ${{\text {H}}^3}{\text {/}}{G_\mu }$; they reflect exactly the visual patterns one sees in the limit sets of the groups ${G_\mu }$; and they are directly computable from the generators of ${G_\mu }$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 26 (1992), 141-146
- MSC (2000): Primary 30F40; Secondary 30F60, 32G15, 57N05, 57S30
- DOI: https://doi.org/10.1090/S0273-0979-1992-00259-8
- MathSciNet review: 1110439