Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661273 | Topology and its Applications | 2006 | 21 Pages |
Abstract
We study the Goussarov–Habiro finite type invariants theory for framed string links in homology balls. Their degree 1 invariants are computed: they are given by Milnor's triple linking numbers, the mod 2 reduction of the Sato–Levine invariant, Arf and Rochlin's μ invariant. These invariants are seen to be naturally related to invariants of homology cylinders through the Milnor–Johnson correspondence: in particular, an analogue of the Birman–Craggs homomorphism for string links is computed. The relation with Vassiliev theory is studied.
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Mathematics
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