no. 5
Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings
[Exposants de Lyapunov de variations de structures de Hodge de rang 2 et plongements modulaires]
Kappes, André1
1 Goethe-Universität Frankfurt am Main Institut für Mathematik Robert-Mayer-Str. 6–8 Frankfurt am Main (Germany)
Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2037-2066.

Si la représentation de monodromie d’une variation de structures de Hodge sur une courbe hyperbolique stabilise un sous-espace de rang 2, elle possède un seul exposant de Lyapunov non-negative. Nous deduisons une formule explicite pour cet exposant dans le cas où la monodromie est discrète en employant seulement la représentation.

If the monodromy representation of a VHS over a hyperbolic curve stabilizes a rank two subspace, there is a single non-negative Lyapunov exponent associated with it. We derive an explicit formula using only the representation in the case when the monodromy is discrete.

DOI : 10.5802/aif.2903
Classification : 32G20, 37D25, 30F35
Keywords: Lyapunov exponent, Kontsevich-Zorich cocycle, variations of Hodge structures
Mot clés : Exposants de Lyapunov, cocycle de Kontsevich-Zorich, variations de structures de Hodge

Kappes, André 1

1 Goethe-Universität Frankfurt am Main Institut für Mathematik Robert-Mayer-Str. 6–8 Frankfurt am Main (Germany) 
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Kappes, André. Lyapunov Exponents of Rank $2$-Variations of Hodge Structures and Modular Embeddings. Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2037-2066. doi : 10.5802/aif.2903. https://aif.centre-mersenne.org/articles/10.5802/aif.2903/

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