×

On the monodromy of the Hitchin connection. (English) Zbl 1267.14016

Authors’ abstract: For any genus \(g\geq 2\) 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 \(\mathrm{SL}(2)\)-theta functions of level \(l\neq 1,2,4\) and 8 contains an element of infinite order.

MSC:

14D20 Algebraic moduli problems, moduli of vector bundles
14H60 Vector bundles on curves and their moduli
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
PDFBibTeX XMLCite
Full Text: DOI arXiv