Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus

By Dawei Chen, Martin Moeller. 2011

61 citations recorded by the source corpus.

We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmuller geodesic flow is the same for all Teichmuller 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 Teichmuller curves with various geometrically defined divisors on moduli spaces of curves. 14H10; 37D40, 14H51

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bcbeae03216996bf436cc92e324c6da6b5a1b864

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In Geometry and Topology

1. Dawei Chen
2. Martin Moeller
3. Don Zagier
4. Martin Möller
5. A. Wright
6. Simion Filip
7. A. Libgober
8. Jeremy Lovejoy

In Mathematical Physics

1. Dawei Chen
2. Martin Moeller
3. Don Zagier
4. Martin Möller
5. Tudor Dimofte
6. Simion Filip
7. A. Wright
8. A. Libgober

Citations in the corpus

• Quasimodularity and large genus limits of Siegel-Veech constants (2016, background): “We also mention in Section 17 an interpretation of the non-varying phenomenom for the sum of Lyapunov exponents ([10]) in the light of the quasimodularity theorem for Siegel-Veech generating series.”