On relations among multiple zeta values obtained in knot theory

TL;DR

This paper explores the algebraic relations among multiple zeta values derived from knot theory, demonstrating they can be obtained from associator relations such as the pentagon and shuffle equations.

Contribution

It shows that relations among multiple zeta values from knot theory follow from fundamental associator relations, unifying these concepts.

Findings

Relations among multiple zeta values are derivable from associator relations.

Associator relations include the pentagon equation and shuffle relation.

The approach unifies knot theory and multiple zeta value algebraic structures.

Abstract

This paper focuses linear and algebraic relations among multiple zeta values which were obtained in knot theory. It is shown that they can be derived from the associator relations, i.e. the pentagon equation and the shuffle relation.