01644nam 2200373z- 450 9910346900703321202102111000024418(CKB)4920000000101515(oapen)https://directory.doabooks.org/handle/20.500.12854/53916(oapen)doab53916(EXLCZ)99492000000010151520202102d2011 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMonodromy representations and Lyapunov exponents of origamisKIT Scientific Publishing20111 online resource (VIII, 138 p. p.)3-86644-751-5 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.Kontsevich-Zorich cocycleLyapunov exponentsquare-tiled surfaceTeichmüller curvevariation of Hodge structuresVeech groupKappes Andréauth1294118BOOK9910346900703321Monodromy representations and Lyapunov exponents of origamis3022894UNINA