Monodromy representations and Lyapunov exponents of origamis
dc.contributor.author | Kappes, André | * |
dc.date.accessioned | 2021-02-11T20:08:23Z | |
dc.date.available | 2021-02-11T20:08:23Z | |
dc.date.issued | 2011 | * |
dc.date.submitted | 2019-07-30 20:02:00 | * |
dc.identifier | 35222 | * |
dc.identifier.uri | https://directory.doabooks.org/handle/20.500.12854/53916 | |
dc.description.abstract | 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. | * |
dc.language | English | * |
dc.subject | QA1-939 | * |
dc.subject.classification | bic Book Industry Communication::P Mathematics & science | en_US |
dc.subject.other | variation of Hodge structures | * |
dc.subject.other | Lyapunov exponent | * |
dc.subject.other | square-tiled surface | * |
dc.subject.other | Kontsevich-Zorich cocycle | * |
dc.subject.other | Teichmüller curve | * |
dc.subject.other | Veech group | * |
dc.title | Monodromy representations and Lyapunov exponents of origamis | * |
dc.type | book | |
oapen.identifier.doi | 10.5445/KSP/1000024418 | * |
oapen.relation.isPublishedBy | 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 | * |
oapen.relation.isbn | 9783866447516 | * |
oapen.pages | VIII, 138 p. | * |
peerreview.review.type | Full text | |
peerreview.anonymity | All identities known | |
peerreview.reviewer.type | Internal editor | |
peerreview.reviewer.type | External peer reviewer | |
peerreview.review.stage | Pre-publication | |
peerreview.open.review | No | |
peerreview.publish.responsibility | Scientific or Editorial Board | |
peerreview.id | 8ad5c235-9810-49eb-b358-27c8675324d9 | |
peerreview.title | Dissertations (Dissertationen) |
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