Brunnian links, claspers and Goussarov-Vassiliev finite type invariants
Abstract
We prove that if n1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is Cn-equivalent to an unlink. We also prove that if n2, then L can not be distinguished from an unlink by any Goussarov-Vassiliev finite type invariant of degree<2n.
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