Monodromy representations and Lyapunov exponents of origamis
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...
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| Main Author: | |
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| Format: | Electronic Book Chapter |
| Language: | English |
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KIT Scientific Publishing
2011
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| Subjects: | |
| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 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. |
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| Physical Description: | 1 electronic resource (VIII, 138 p. p.) |
| ISBN: | KSP/1000024418 9783866447516 |
| Access: | Open Access |