Monodromy representations and Lyapunov exponents of origamis

• Autore: Kappes André
• Pubblicazione: KIT Scientific Publishing, 2011
• Descrizione fisica: 1 online resource (VIII, 138 p. p.)
• Soggetto non controllato: Kontsevich-Zorich cocycle; Lyapunov exponent; square-tiled surface; Teichmüller curve; variation of Hodge structures; 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