English

Link-homotopy Invariants of Finite Type

Geometric Topology 2007-05-23 v1

Abstract

An explicit polynomial in the linking numbers lijl_{ij} and Milnor's triple linking numbers μ(rst)\mu(rst) on six component links is shown to be a well-defined finite type link-homotopy invariant. This solves a problem raised by B. Mellor and D. Thurston. An extension of our construction also produces a finite type link invariant which detects the invertibility for some links.

Keywords

Cite

@article{arxiv.math/0012095,
  title  = {Link-homotopy Invariants of Finite Type},
  author = {Xiao-Song Lin},
  journal= {arXiv preprint arXiv:math/0012095},
  year   = {2007}
}

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10 pages