# Fixed points of compositions of earthquakes

@article{Bonsante2008FixedPO,
title={Fixed points of compositions of earthquakes},
author={Francesco Bonsante and Jean-Marc Schlenker},
journal={Duke Mathematical Journal},
year={2008},
volume={161},
pages={1011-1054}
}
• Published 2008
• Mathematics
• Duke Mathematical Journal
Let S be a closed surface of genus at least 2, and consider two measured geodesic laminations that fill S. Right earthquakes along these laminations are diffeomorphisms of the Teichmuller space of S. We prove that the composition of these earthquakes has a fixed point in the Teichmuller space. 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… Expand

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