On the monodromy of the Hitchin connection

Abstract

For any genus g > 1 we give an example of a family of smooth complex projective curves of genus g such that the image of the monodromy representation of the Hitchin connection on the sheaf of generalized SL(2)-theta functions of level l different from 1,2,4 and 8 contains an element of infinite order.

20 pages, revised version

References in corpus (3)

• Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory
• Modular functors are determined by their genus zero data
• From WZW models to Modular Functors

Cited by in corpus (1)

• Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory