Dynamics of $\mathrm{SL}_2(\mathbb{R})$ over moduli space in genus two
Annals of mathematics, Tome 165 (2007) no. 2, pp. 397-456
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.
@article{10_4007_annals_2007_165_397,
author = {Curtis T. McMullen},
title = {Dynamics of $\mathrm{SL}_2(\mathbb{R})$ over moduli space in genus two},
journal = {Annals of mathematics},
pages = {397--456},
year = {2007},
volume = {165},
number = {2},
doi = {10.4007/annals.2007.165.397},
mrnumber = {2299738},
zbl = {1131.14027},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.397/}
}
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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
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