Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- arXiv:
- arXiv:1305.3015
- Bibcode:
- 2013arXiv1305.3015E
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Geometric Topology
- E-Print:
- 49 pages. Final version following second referee report. To appear in Annals of Math