On Vassiliev Knot Invariants Induced from Finite Type 3-manifold Invariants

@inproceedings{Lin1995OnVK,
  title={On Vassiliev Knot Invariants Induced from Finite Type 3-manifold Invariants},
  author={Xiao-Song Lin},
  year={1995}
}
We prove that the knot invariant induced by a Zhomology 3-sphere invariant of order ≤ k in Ohtsuki’s sense, where k ≥ 4, is of order ≤ k− 2. The method developed in our computation shows that there is no Z-homology 3-sphere invariant of order 5.