On the coefficients of the Alekseev Torossian associator

TL;DR

This paper presents a method to compute the coefficients of the Alekseev-Torossian associator using linear combinations of iterated integrals of Kontsevich weight forms of Lie graphs, advancing understanding of associator structures.

Contribution

It introduces a novel approach to calculating the Alekseev-Torossian associator coefficients through iterated integrals of specific weight forms.

Findings

Coefficients expressed as linear combinations of iterated integrals.

Provides a calculational framework for the Alekseev-Torossian associator.

Enhances understanding of associator structures and their computation.

Abstract

This paper explains a method to calculate the coefficients of the Alekseev-Torossian associator as linear combinations of iterated integrals of Kontsevich weight forms of Lie graphs.