Dynamics of $\mathrm{SL}_2(\mathbb{R})$ over moduli space in genus two
Annals of mathematics, Tome 165 (2007) no. 2, pp. 397-456.

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This paper classifies orbit closures and invariant measures for the natural action of $\operatorname{SL}_2(\mathbb{R})$ on $\Omega \mathcal{M}_2$, the bundle of holomorphic 1-forms over the moduli space of Riemann surfaces of genus two.
DOI : 10.4007/annals.2007.165.397

Curtis T. McMullen 1

1 Department of Mathematics, Harvard University, Cambridge, MA 02138, United States
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Curtis T. McMullen. Dynamics of $\mathrm{SL}_2(\mathbb{R})$ over moduli space in genus two. Annals of mathematics, Tome 165 (2007) no. 2, pp. 397-456. doi : 10.4007/annals.2007.165.397. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.397/

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