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Autore: | Kappes André |
Titolo: | Monodromy representations and Lyapunov exponents of origamis |
Pubblicazione: | KIT Scientific Publishing, 2011 |
Descrizione fisica: | 1 electronic resource (VIII, 138 p. p.) |
Soggetto non controllato: | variation of Hodge structures |
Lyapunov exponent | |
square-tiled surface | |
Kontsevich-Zorich cocycle | |
Teichmüller curve | |
Veech group | |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Monodromy representations and Lyapunov exponents of origamis |
ISBN: | 1000024418 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910346900703321 |
Lo trovi qui: | Univ. Federico II |
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