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Barycentric extension and the Bers embedding for asymptotic Teichmüller space

Earle, Clifford J. and Markovic, Vladimir and Saric, Dragomir (2002) Barycentric extension and the Bers embedding for asymptotic Teichmüller space. In: Complex Manifolds and Hyperbolic Geometry. Contemporary Mathematics . No.311. American Mathematical Society , Province, R.I., pp. 87-105. ISBN 978-0-8218-2957-8.

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In this paper we show that the Bers map of the asymptotic Teichmüller space AT(X) of an arbitrary hyperbolic Riemann surface X is injective. We prove further that AT(X) and the fibers of the quotient may from T(X) to AT(X) are contractible and that every point in the fiber over the basepoint of AT(X) is represented by a quasiconformal map that is an asymptotic hyperbolic isometry. The barycentric extension operators plays a central role in our proofs.

Item Type:Book Section
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Additional Information:© 2002 American Mathematical Society.
Series Name:Contemporary Mathematics
Issue or Number:311
Classification Code:MSC: Primary 30F60; secondary 30C62
Record Number:CaltechAUTHORS:20170509-093902117
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77293
Deposited By: Ruth Sustaita
Deposited On:16 May 2017 22:04
Last Modified:15 Nov 2021 17:29

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