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Nonvarying sums of
Lyapunov exponents of Abelian differentials in low genus
Dawei Chen and Martin Möller |
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Geometry & Topology 16 (2012) 2427–2479
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Abstract |
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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. |
Keywords
Teichmüller curve, Lyapunov exponents, Brill–Noether
divisor
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Mathematical Subject Classification 2010
Primary: 14H10
Secondary: 37D40, 14H51
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References |
Publication
Received: 19 August 2011
Revised: 30 July 2012
Accepted: 31 July 2012
Published: 5 February 2013
Proposed: Benson Farb
Seconded: Shigeyuki Morita, Walter Neumann
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Authors |
| Dawei Chen | |
| Department of Mathematics Boston College Carney Hall 140 Commonwealth Avenue Chestnut Hill MA 02467 USA |
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| Martin Möller | |
| Institut für Mathematik Goethe-Universität Frankfurt Robert-Mayer-Str. 6-8 D-60325 Frankfurt am Main Germany |
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