Wheels, Wheeling, and the Kontsevich Integral of the Unknot

Details Wheels, Wheeling, and the Kontsevich Integral of the Unknot Wheels, Wheeling, and the Kontsevich Integral of the Unknot

1997-03-13

arxiv.org/abs/q-alg/9703025v3

Mathematics

Quantum Algebra

LaTeX2e, 13pp. Some minor corrections and a much more extensive introduction

Scientific paper

We conjecture an exact formula for the Kontsevich integral of the unknot, and also conjecture a formula (also conjectured independently by Deligne) for the relation between the two natural products on the space of Chinese characters. The two formulas use the related notions of "Wheels" and "Wheeling". We prove these formulas "on the level of Lie algebras" using standard techniques from the theory of Vassiliev invariants and the theory of Lie algebras.

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