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Weight Systems for Milnor Invariants

Blake Mellor
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Abstract

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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BibTeXRIS

Blake Mellor. 2005-07-25. Weight Systems for Milnor Invariants. https://arxiv.org/abs/math/0501280

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