Geodesic
Quaternionic covers and monodromy of the Kontsevich–Zorich cocycle in orthogonal groups
Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 165-198

Voir la notice de l'article provenant de la source EMS Press

We give an example of a Teichmüller curve which contains, in a factor of its monodromy, a group which was not observed before. Namely, it has Zariski closure equal to the group SO∗(6) in its standard representation; up to finite index, this is the same as SU(3,1) in its second exterior power representation.
DOI : 10.4171/jems/763
Classification : 37-XX, 32-XX
Keywords: Translation surfaces, monodromy, orthogonal groups, square-tiled surfaces, moduli spaces of abelian differentials, Teichmüller flow, Hodge bundle, Kontsevich–Zorich cocycle 
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Simion Filip; Giovanni Forni; Carlos Matheus. Quaternionic covers and monodromy of the Kontsevich–Zorich cocycle in orthogonal groups. Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 165-198. doi: 10.4171/jems/763

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