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arXiv:math/0501280 [math.GT]AbstractReferencesReviewsResources

Weight Systems for Milnor Invariants

Blake Mellor

Published 2005-01-18, updated 2005-07-25Version 2

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.

Comments: 13 pages, 8 figures. Latest version has minor technical changes
Journal: J. Knot Theory Ramif., vol. 17, no. 2, 2008, pp. 213-230
Categories: math.GT, math.CO
Subjects: 57M27
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