TY  - BOOK
AU  - Kappes, André
AB  - 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.
DO  - 10.5445/KSP/1000024418
ID  - OAPEN ID: 35222
KW  - variation of Hodge structures
KW  - Lyapunov exponent
KW  - square-tiled surface
KW  - Kontsevich-Zorich cocycle
KW  - Teichmüller curve
KW  - Veech group
L1  - https://www.ksp.kit.edu/9783866447516
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/53916
PB  - KIT Scientific Publishing
PY  - 2011
SN  - 9783866447516
TI  - Monodromy representations and Lyapunov exponents of origamisnull
ER  - 
