Extension in the Geometry of Goncharov Motivic and Configuration Chain Complexes

Abstract

This study aims to propose extensions of morphisms in the geometry of configuration and Goncharov motivic chain complexes. First, the geometry of these complexes will be extended for weight 3 by introducing some interesting morphisms and then this extension for weight 4 and 5 will be presented. The commutativity of these generalized diagrams will also be proven.