Lyapunov exponents on character varieties and Teichmüller curves
- In the first part of the thesis we investigate Lyapunov exponents for general flat vector bundles over Riemann surfaces and we describe properties of Lyapunov exponents on special loci of the moduli space of flat vector bundles. In the second part of the thesis we show how the knowledge of Lyapunov exponent over a sporadic Teichmüller curve can be used to compute the algebraic equation of the associated universal family of curves.
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| Author: | Matteo CostantiniGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-474778 |
| Place of publication: | Frankfurt am Main |
| Referee: | Martin MöllerGND, Anna WienhardGND |
| Document Type: | Doctoral Thesis |
| Language: | English |
| Date of Publication (online): | 2018/09/13 |
| Year of first Publication: | 2018 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Granting Institution: | Johann Wolfgang Goethe-Universität |
| Date of final exam: | 2018/12/09 |
| Release Date: | 2018/09/25 |
| Tag: | Lyapunov exponents |
| Page Number: | 115 |
| HeBIS-PPN: | 43700385X |
| Institutes: | Informatik und Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
