Vanishing of 3-Loop Jacobi Diagrams of Odd Degree
Geometric Topology
2008-08-13 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0511602,
title = {Vanishing of 3-Loop Jacobi Diagrams of Odd Degree},
author = {Daniel Moskovich and Tomotada Ohtsuki},
journal= {arXiv preprint arXiv:math/0511602},
year = {2008}
}
Comments
13 pages. Section on the even degree case expanded. Various minor corrections