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André Kappes

Monodromy representations and Lyapunov exponents of origamis

AutorKappes, André

VerlagKIT Scientific Publishing, Karlsruhe

ISBN9783866447516

UmfangVIII, 138 S.

Veröffentlicht
am:
13.12.2011

Erscheinungs-
jahr
2011

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000024418

Abstract

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.