V. Drinfeld defined the KZ associator by considering the regularized holonomy of KZ equation along the real interval from 0 to 1 and proved that it satisfies the pentagon equation.  
We consider general curves possibly with self intersections and study the equations it satisfied. As an application of this equation, we discuss how to calculate the reduced coaction (an upgraded version of associated graded Turaev cobracket) of the holonomy,  based on joint work with Anton Alekseev and Florian <a href="http://Naef.

https://indico.math.cnrs.fr/event/12709/ » target= »_blank » title= »Naef.

https://indico.math.cnrs.fr/event/12709/ »>Naef.

https://indico.math.cnrs.fr/event/12709/