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PLEATING COORDINATES FOR THE TEICHMULLER SPACE OF A PUNCTURED TORUS
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UNSPECIFIED (1992) PLEATING COORDINATES FOR THE TEICHMULLER SPACE OF A PUNCTURED TORUS. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 26 (1). pp. 141-146. ISSN 0273-0979.
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Abstract
We construct new coordinates for the Teichmuller space Teich of a punctured torus into R x 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 H-3/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).
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0273-0979 | ||||
Official Date: | January 1992 | ||||
Dates: |
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Volume: | 26 | ||||
Number: | 1 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 141-146 | ||||
Publication Status: | Published |
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