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15 April 2012 Fixed points of compositions of earthquakes
Francesco Bonsante, Jean-Marc Schlenker
Duke Math. J. 161(6): 1011-1054 (15 April 2012). DOI: 10.1215/00127094-1548434

Abstract

Let S be a closed surface of genus at least 2, and let λ and μ be two laminations that fill S. Let Erλ and Erμ be the right earthquakes on λ and μ, respectively. We show that the composition ErλErμ has a fixed point in the Teichmüller space of S. Another way to state this result is that it is possible to prescribe any two measured laminations that fill a surface as the upper and lower measured bending laminations of the convex core of a globally hyperbolic anti-de Sitter (AdS) manifold. The proof uses some estimates from the geometry of those AdS manifolds.

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Francesco Bonsante. Jean-Marc Schlenker. "Fixed points of compositions of earthquakes." Duke Math. J. 161 (6) 1011 - 1054, 15 April 2012. https://doi.org/10.1215/00127094-1548434

Information

Published: 15 April 2012
First available in Project Euclid: 5 April 2012

zbMATH: 1244.32007
MathSciNet: MR2913100
Digital Object Identifier: 10.1215/00127094-1548434

Subjects:
Primary: 32G15
Secondary: 30F60, 53C50

Rights: Copyright © 2012 Duke University Press

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Vol.161 • No. 6 • 15 April 2012
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