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Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus

Dawei Chen Boston College Martin Moeller Goethe University Frankfurt

mathscidoc:1702.01001

Geometry & Topology , 16, 2427-2479, 2012
We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmüller geodesic flow is the same for all Teichmüller curves in that stratum, hence equal to the sum of Lyapunov exponents for the whole stratum. This behavior is due to the disjointness property of Teichmüller curves with various geometrically defined divisors on moduli spaces of curves
Abelian differentials; Teichmüller curves; moduli space of curves; Lyapunov exponents
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@inproceedings{dawei2012nonvarying,
  title={Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus},
  author={Dawei Chen, and Martin Moeller},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170202034304468173151},
  booktitle={Geometry & Topology },
  volume={16},
  pages={2427-2479},
  year={2012},
}
Dawei Chen, and Martin Moeller. Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus. 2012. Vol. 16. In Geometry & Topology . pp.2427-2479. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170202034304468173151.
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