Milnor and finite type invariants of plat-closures

Efstratia Kalfagianni; Xiao-Song Lin

Milnor and finite type invariants of plat-closures

Geometric Topology 2007-05-23 v1

Authors: Efstratia Kalfagianni , Xiao-Song Lin

Abstract

We show that for an $n$ -component, $n$ -bridge link and a positive integer $m$ , the following is true: If the longitudes of $L$ lie in the $(m+2)$ -th term of the lower central series of the link group then all the finite type invariants of orders $\leq m$ for $L$ are the same as these of the $n$ -component unlink.

Keywords

milnor invariants finite type invariants plat closures link group lower central series

Cite

@article{arxiv.math/9804030,
  title  = {Milnor and finite type invariants of plat-closures},
  author = {Efstratia Kalfagianni and Xiao-Song Lin},
  journal= {arXiv preprint arXiv:math/9804030},
  year   = {2007}
}

Comments

14 pages. To appear in Math. Res. Letters

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