Math @ Duke

Publications [#44020] of Amir Jafari
Preprints
 A. Jafari & H.Furusho, Algebraic cycles and motivic generic iterated integrals.
(June, 2005) [math.NT/0506370]
(last updated on 2005/12/18)
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
BlochKriz [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.


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