The framed version of the universal KZB connection in higher genera

Abstract

In this paper, the universal KZB connection on the configuration space of points on a closed Riemann surface of an arbitrary genus, introduced by Enriquez, is lifted to the configuration space of points with tangent vectors. This lifted connection is then used to prove the existence of a higher genus version of a Drinfeld associator in the sense of Gonzalez.

arXiv comment35 pages. Appendix by Benjamin Enriquez