Wheels, wheeling, and the Kontsevich integral of the Unknot
Copyright policy )Wheels, wheeling, and the Kontsevich integral of the Unknot
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.
LaTeX2e, 13pp. Some minor corrections and a much more extensive introduction
- University of California, Berkeley United States
- University of Illinois at Chicago United States
- Harvard University United States
- Hebrew University of Jerusalem Israel
Vassiliev invariants, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), Invariants of knots and \(3\)-manifolds
Vassiliev invariants, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), Invariants of knots and \(3\)-manifolds
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