The limit configuration space integral for tangles and the Kontsevich integral

TL;DR

This paper demonstrates that the zero-anomaly result of Yang ensures the equivalence between the configuration space integral and the Kontsevich integral for tangles, advancing the understanding of their mathematical relationship.

Contribution

It establishes the equality of the configuration space integral and the Kontsevich integral under the zero-anomaly condition, building on previous work.

Findings

Zero-anomaly result of Yang implies integral equality

Configuration space integral equals Kontsevich integral for tangles

Advances the mathematical understanding of tangle invariants

Abstract

This article is the continuation of our first article (math/9901028). It shows how the zero-anomaly result of Yang implies the equality between the configuration space integral and the Kontsevich integral.