Milnor and finite type invariants of plat-closures

Details Milnor and finite type invariants of plat-closures Milnor and finite type invariants of plat-closures

1998-04-06

arxiv.org/abs/math/9804030v1

Mathematics

Geometric Topology

14 pages. To appear in Math. Res. Letters

Scientific paper

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.

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