Publications [#44020] of Amir Jafari

Preprints

1. 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 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.