21 citations · 24 across the 6 of their papers we have counts for
6 papers
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…
Cluster X-varieties, amalgamation and Poisson-Lie groups
V. V. Fock, A. B. Goncharov
Starting from a split semisimple real Lie group G with trivial center, we define a family of varieties with additional structures. We describe them as the cluster X-varieties, as d…
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…
Regulators
A. B. Goncharov
We discuss several approaches to motivic complexes and explicit constructions of the regulator maps from the motivic complexes to Deligne complexes.
Moduli spaces of convex projective structures on surfaces
V. V. Fock, A. B. Goncharov
We define convex projective structures on 2D surfaces with holes and investigate their moduli space. We prove that this moduli space is canonically identified with the higher Teich…
Euclidean scissor congruence groups and mixed Tate motives over dual numbers
A. B. Goncharov
We define Euclidean scissor congruence groups for an arbitrary algebraically closed field F and propose their conjectural description. We suggest how they should be related to mixe…