Morphisms Between Classical and Infinitesimal Polylogarithmic and Grassmannian Complexes

Abstract

In this paper we want to introduce two commutative diagrams for weight $n$=2 and $n$=3 with six faces on each. These diagrams describe the relations between Grassmannian complex in geometric configurations, Bloch-Suslin's complex for weight $n$=2 and Goncharov's complex for weight $n$=3 and the variants of Cathelineau's complexes for weight $n$=2,3. Here we are putting all complexes together to see a bigger picture.