Milnor-Orr invariants from the Kontsevich invariant

Takefumi Nosaka

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arXiv · 1712.02060

Milnor-Orr invariants from the Kontsevich invariant

Takefumi Nosaka

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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 $ k $ is equivalent to the tree reduction of the Kontsevich invariant of degree $< 2k $. Furthermore, we will see a close relation between the Orr invariant and the Milnor invariant, and discuss a method of computing these invariants

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BibTeX RIS

Takefumi Nosaka. 2017-12-06. Milnor-Orr invariants from the Kontsevich invariant. https://arxiv.org/abs/1712.02060

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