English

Milnor-Orr invariants from the Kontsevich invariant

Geometric Topology 2018-01-12 v2

Abstract

As nilpotent studies in knot theory, we focus on invariants of Milnor, Orr, and Kontsevich. We show that the Orr invariant of degree k k is equivalent to the tree reduction of the Kontsevich invariant of degree <2k< 2k . Furthermore, we will see a close relation between the Orr invariant and the Milnor invariant, and discuss a method of computing these invariants

Keywords

Cite

@article{arxiv.1712.02060,
  title  = {Milnor-Orr invariants from the Kontsevich invariant},
  author = {Takefumi Nosaka},
  journal= {arXiv preprint arXiv:1712.02060},
  year   = {2018}
}

Comments

8 figures, 16 pages. I revised minor mistakes, and improve some proofs