21 citations · 54 across the 7 of their papers we have counts for
4 papers · 1 filter
Galois symmetries of fundamental groupoids and noncommutative geometry
A. B. Goncharov
We define motivic iterated integrals on the affine line, and give a simple proof of the formula for the coproduct in the Hopf algebra of they make. We show that it encodes the grou…
Polylogarithms, regulators and Arakelov motivic complexes
A. B. Goncharov
We construct an explicit regulator map from the weigh n Bloch Higher Chow group complexto the weight n Deligne complex of a regular complex projective algebraic variety X. We defin…
Multiple zeta-motives and moduli spaces M_{0,n}
A. B. Goncharov, Yu. I. Manin
We give a natural construction of unramified over Z framed mixed Tate motives, whose periods are the multiple zeta values. Namely, for each convergent multiple zeta-value we define…
Periods and mixed motives
A. B. Goncharov
We define motivic multiple polylogarithms and prove the double shuffle relations for them. We use this to study the motivic fundamental group of the multiplicative group - {N-th ro…