Preprints
Abstract:
Following the work of Gangl, Goncharov and
Levin in [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
Bloch-Kriz [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.