On the monodromy of the Hitchin connection

Yves Laszlo (1) , Christian Pauly (2) , Christoph Sorger (3)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 I3M - Institut de Mathématiques et de Modélisation de Montpellier
3 LMJL - Laboratoire de Mathématiques Jean Leray

We show that the image of the monodromy representation of the Hitchin connection on the sheaf of generalized SL(2)-theta functions over a family of complex smooth projective curves of genus g > 2 contains an element of infinite order.

Domaines: Géométrie algébrique [math.AG]

Yves Laszlo, Christian Pauly, Christoph Sorger. On the monodromy of the Hitchin connection. Journal of Geometry and Physics, 2013, 64, pp.64-78. ⟨10.1016/j.geomphys.2012.11.003⟩. ⟨hal-00465731⟩