Finite Type Link Invariants and the Non-invertibility of Links

نویسنده

  • XIAO-SONG LIN
چکیده

We show that a variation of Milnor’s μ̄-invariants, the so-called Campbell-Hausdorff invariants introduced recently by Stefan Papadima, are of finite type. This implies, in particular, that finite type link invariants can detect the non-invertibility of a link with more than one components and they are thus stronger than quantum invariants. It is still open whether finite type knot invariants (Vassiliev invariants) could detect the non-invertibility of knots.

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تاریخ انتشار 1996