Milnor invariants and the HOMFLYPT polynomial

Jean Baptiste Meilhan*, Akira Yasuhara

*この研究の対応する著者

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We give formulas expressing Milnor invariants of an n-component link L in the 3-sphere in terms of the HOMFLYPT polynomial as follows. If the Milnor invariant ̄μL(J) vanishes for any sequence J with length at most k, then any Milnor ̄μ-invariant ̄μL(I) with length between 3 and 2k + 1 can be represented as a combination of HOMFLYPT polynomial of knots obtained from the link by certain band sum operations. In particular, the first nonvanishing Milnor invariants can be always represented as such a linear combination.

本文言語English
ページ(範囲)889-917
ページ数29
ジャーナルGeometry and Topology
16
2
DOI
出版ステータスPublished - 2012
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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