LEADER 01624nam  2200361z- 450 
001 9910346900703321
005 20231214133449.0
010   $a1000024418
035   $a(CKB)4920000000101515
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/53916
035   $a(EXLCZ)994920000000101515
100   $a20202102d2011      |y             0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMonodromy representations and Lyapunov exponents of origamis
210   $cKIT Scientific Publishing$d2011
215   $a1 electronic resource (VIII, 138 p. p.)
311   $a3-86644-751-5 
330   $aOrigamis 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.
610   $avariation of Hodge structures
610   $aLyapunov exponent
610   $asquare-tiled surface
610   $aKontsevich-Zorich cocycle
610   $aTeichmüller curve
610   $aVeech group
700   $aKappes$b André$4auth$01294118
906   $aBOOK
912   $a9910346900703321
996   $aMonodromy representations and Lyapunov exponents of origamis$93022894
997   $aUNINA