Monodromy representations and Lyapunov exponents of origamis

• Main Author: Kappes, André (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: KIT Scientific Publishing 2011
• Subjects: variation of Hodge structures; Lyapunov exponent; square-tiled surface; Kontsevich-Zorich cocycle; Teichmüller curve; Veech group
• Online Access: DOAB: download the publication; DOAB: description of the publication

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 e...