nLab
Wheels theorem

Context

Knot theory

Algebraic Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Idea

The Wheels theorem says that the perturbative Wilson loop observable (Kontsevich integral) of the unknot is, as a universal Vassiliev invariant with values in Jacobi diagrams, a series of wheel-shaped Jacobi diagrams with coefficients the modified Bernoulli numbers.

References

The full proof is due to

The weaker version for Lie algebra weight systems was proven in:

Version for Rozansky-Witten weight systems:

Review:

Last revised on January 1, 2020 at 13:01:42. See the history of this page for a list of all contributions to it.