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Dynamics of SL2(ℝ) Over Moduli Space in Genus Two

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2007

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Princeton University
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McMullen, Curtis T. 2007. Dynamics of SL2(ℝ) over moduli space in genus two. Annals of Mathematics 165(2): 397-456.

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This paper classifies orbit closures and invariant measures for the natural action of SL2(ℝ) on Ωℳ2, the bundle of holomorphic 1-forms over the moduli space of Riemann surfaces of genus two.

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