arXiv:1305.3015 Abstract | arXiv Analytics

arXiv:1305.3015 [math.DS]Abstract References Reviews Resources

Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space

Alex Eskin, Maryam Mirzakhani, Amir Mohammadi

Published 2013-05-14, updated 2015-03-02Version 4

We prove results about orbit closures and equidistribution for the SL(2,R) action on the moduli space of compact Riemann surfaces, which are analogous to the theory of unipotent flows. The proofs of the main theorems rely on the measure classification theorem of [EMi2] and a certain isolation property of closed SL(2,R) invariant manifolds developed in this paper.

Comments: 49 pages. Final version following second referee report. To appear in Annals of Math

Categories: math.DS, math.GT

Keywords: orbit closures, moduli space, equidistribution, compact riemann surfaces, measure classification theorem

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