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Square-tiled surfaces and rigid curves on moduli spaces - MaRDI portal

Square-tiled surfaces and rigid curves on moduli spaces (Q639547)

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Square-tiled surfaces and rigid curves on moduli spaces
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    Square-tiled surfaces and rigid curves on moduli spaces (English)
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    22 September 2011
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    This paper studies the rigidity of algebraic (Teichmüller) curves arising from square tiled surfaces in the moduli space of curves. It gives a beautiful relation between the limits of slopes for Teichmüller curves and the sums of Lyapunov exponents for the Teichmüller geodesic flow.
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    Branched covers
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    Lyapunov Exponents
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    Moduli Space of Curves
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