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 ex...
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| Year of Publication: | 2011 |
| Language: | English |
| Physical Description: | 1 electronic resource (VIII, 138 p. p.) |
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| 100 | 1 | |a Kappes, André |4 auth | |
| 245 | 1 | 0 | |a Monodromy representations and Lyapunov exponents of origamis |
| 260 | |b KIT Scientific Publishing |c 2011 | ||
| 300 | |a 1 electronic resource (VIII, 138 p. p.) | ||
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| 520 | |a 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. | ||
| 546 | |a English | ||
| 653 | |a variation of Hodge structures | ||
| 653 | |a Lyapunov exponent | ||
| 653 | |a square-tiled surface | ||
| 653 | |a Kontsevich-Zorich cocycle | ||
| 653 | |a Teichmüller curve | ||
| 653 | |a Veech group | ||
| 776 | |z 3-86644-751-5 | ||
| 906 | |a BOOK | ||
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