Milnor–Orr Invariants from the Kontsevich Invariant

  • Takefumi Nosaka

    Tokyo Institute of Technology, Japan
Milnor–Orr Invariants from the Kontsevich Invariant cover

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Abstract

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

Cite this article

Takefumi Nosaka, Milnor–Orr Invariants from the Kontsevich Invariant. Publ. Res. Inst. Math. Sci. 56 (2020), no. 1, pp. 173–193

DOI 10.4171/PRIMS/56-1-7