Brunnian links, claspers and Goussarov-Vassiliev finite type invariants

Mathematics – Geometric Topology

Scientific paper

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11 pages, 6 figures

Scientific paper

We prove that if n\ge1, then an (n+1)-component Brunnian link L in a
connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove
that if n\ge2, then L can not be distinguished from an unlink by any
Goussarov-Vassiliev finite type invariant of degree<2n.

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