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On surgery along Brunnian links in 3-manifolds

Jean-Baptiste Meilhan
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Abstract

We consider surgery moves along (n+1)-component Brunnian links in compact connected oriented 3-manifolds, where the framing of the each component is 1/k for k in Z. We show that no finite type invariant of degree < 2n-2 can detect such a surgery move. The case of two link-homotopic Brunnian links is also considered. We relate finite type invariants of integral homology spheres obtained by such operations to Goussarov-Vassiliev invariants of Brunnian links.

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BibTeXRIS

Jean-Baptiste Meilhan. 2009-07-29. On surgery along Brunnian links in 3-manifolds. https://doi.org/10.2140/agt.2006.6.2417

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