Weight Systems for Milnor Invariants

Details Weight Systems for Milnor Invariants Weight Systems for Milnor Invariants

2005-01-18

arxiv.org/abs/math/0501280v2

J. Knot Theory Ramif., vol. 17, no. 2, 2008, pp. 213-230

Mathematics

Geometric Topology

13 pages, 8 figures. Latest version has minor technical changes

Scientific paper

We use Polyak's skein relation to give a new proof that Milnor's string link
homotopy invariants are finite type invariants, and to develop a recursive
relation for their associated weight systems. We show that the obstruction to
the triviality of these weight systems is the presence of a certain kind of
spanning tree in the intersection graph of a chord diagram.

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