125 citations · 210 across the 6 of their papers we have counts for
6 papers
Topological polylogarithms and -adic interpolation of -values of totally real fields
Alexander Beilinson, Guido Kings, Andrey Levin
We develop the topological polylogarithm which provides an integral version of Nori's Eisenstein cohomology classes for and yields classes with values in an Iwas…
Multiple Elliptic Polylogarithms
Francis C. S. Brown, Andrey Levin
We study the de Rham fundamental group of the configuration space of marked points on an elliptic curve , and define multiple elliptic polylogarithms. These are…
Cohomology of the complement to an elliptic arrangement
A. Levin, A. Varchenko
We consider the complement to an arrangement of hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a nontrivial rank one local s…
Towards multiple elliptic polylogarithms
Andrey Levin, Georges Racinet
We investigate the elliptic analogs of multi-indexed polylogarithms that appear in the theory of the fundamental group of the projective line minus three points as sections of a un…
Multiple polylogarithms, polygons, trees and algebraic cycles
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
We construct algebraic cycles in Bloch's cubical cycle group which correspond to multiple polylogarithms with generic arguments. Moreover, we construct out of them a Hopf subalgebr…
Multiple logarithms, algebraic cycles and trees
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
This is a short exposition--mostly by way of the toy models ``double logarithm'' and ``triple logarithm''--which should serve as an introduction to a forthcoming article in which w…