Geodesic
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
Eskin, Alex1  ; Kontsevich, Maxim2  ; Zorich, Anton3 
1 Department of Mathematics, University of Chicago 60637 Chicago IL USA
2 IHES le Bois Marie, 35, route de Chartres 91440 Bures-sur-Yvette France
3 Institut de Mathématiques de Jussieu (Paris Rive Gauche), Université Paris 7 and IUF Bâtiment Sophie Germain, Case 7012 75205 Paris Cedex 13 France
Publications Mathématiques de l'IHÉS, Tome 120 (2014), pp. 207-333

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DOI : 10.1007/s10240-013-0060-3
Keywords: Modulus Space, Vector Bundle, Lyapunov Exponent, Quadratic Differential, Closed Geodesic

Eskin, Alex 1 ; Kontsevich, Maxim 2 ; Zorich, Anton 3

1 Department of Mathematics, University of Chicago 60637 Chicago IL USA
2 IHES le Bois Marie, 35, route de Chartres 91440 Bures-sur-Yvette France
3 Institut de Mathématiques de Jussieu (Paris Rive Gauche), Université Paris 7 and IUF Bâtiment Sophie Germain, Case 7012 75205 Paris Cedex 13 France 
@article{PMIHES_2014__120__207_0,
     author = {Eskin, Alex and Kontsevich, Maxim and Zorich, Anton},
     title = {Sum of {Lyapunov} exponents of the {Hodge} bundle with respect to the {Teichm\"uller} geodesic flow},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {207--333},
     publisher = {Springer Berlin Heidelberg},
     address = {Berlin/Heidelberg},
     volume = {120},
     year = {2014},
     doi = {10.1007/s10240-013-0060-3},
     mrnumber = {3270590},
     zbl = {1305.32007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-013-0060-3/}
}
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Eskin, Alex; Kontsevich, Maxim; Zorich, Anton. Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow. Publications Mathématiques de l'IHÉS, Tome 120 (2014), pp. 207-333. doi: 10.1007/s10240-013-0060-3

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