Vanishing of 3-Loop Jacobi Diagrams of Odd Degree

Details Vanishing of 3-Loop Jacobi Diagrams of Odd Degree Vanishing of 3-Loop Jacobi Diagrams of Odd Degree

2005-11-24

arxiv.org/abs/math/0511602v2

J. Combin. Theory Ser. A. 114 (2007) 919-931.

Mathematics

Geometric Topology

13 pages. Section on the even degree case expanded. Various minor corrections

Scientific paper

We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree.
This implies that no 3-loop finite-type invariant can distinguish between a
knot and its inverse.

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