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Origamis are translation surfaces obtained by gluing finitely many unit squares and provide an easy access to Teichmüller curves. In particular, their monodromy represenation can be explicitely determined. A general principle for the decomposition of this represenation is exhibited and applied to examples. Closely connected to it is a dynamical cocycle on the Teichmüller curve. It is shown that its Lyapunov exponents, otherwise inaccessible, can be computed for a subrepresentation of rank two.
Umfang: VIII, 138 S.
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Kappes, A. 2011. Monodromy representations and Lyapunov exponents of origamis. Karlsruhe: KIT Scientific Publishing. DOI: https://doi.org/10.5445/KSP/1000024418
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Veröffentlicht am 13. Dezember 2011
Englisch
150
| Paperback | 978-3-86644-751-6 |