Algebraic Cycles and Motivic Generic Iterated Integrals

Following \cite{GGL}, we will give a combinatorial framework for motivic study of iterated integrals on the affine line. We will show that under a certain genericity condition these combinatorial objects yield to elements in the motivic Hopf algebra constructed in \cite{BK}. It will be shown that the Hodge realization of these elements coincides with the Hodge structure induced from the fundamental torsor of path of punctured affine line.

Full Text (PDF format)

Published 1 January 2007