Monodromy representations and Lyapunov exponents of origamis

By André Kappes

Origamis are translation surfaces obtained by gluing finitely many unit squares and provide an easy access to Teichm?ller 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 Teichm?ller curve. It is shown that its Lyapunov exponents, otherwise inaccessible, can be computed for a subrepresentation of rank two.

• Format: Paperback
• Language: English
• ISBN: 3866447515
• ISBN13: 9783866447516
• Release Date: March 2012
• Publisher: Karlsruher Institut Fur Technologie
• Length: 152 Pages
• Weight: 0.42 lbs.
• Dimensions: 0.3" x 5.8" x 8.3"