Milnor-Orr invariants from the Kontsevich invariant

11 Jan 2018  ·  Nosaka Takefumi ·

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 read more

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Geometric Topology