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Monodromy representations and Lyapunov exponents of origamis
- Format:
- Book
- Author/Creator:
- Kappes, André
- Language:
- English
- Physical Description:
- 1 online resource (VIII, 138 p. p.)
- Place of Publication:
- KIT Scientific Publishing 2011
- Language Note:
- English
- Summary:
- 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.
- ISBN:
- 1000024418
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