Geometric Interpretation of ¯ Μ(ijk)

نویسندگان

  • Blake Mellor
  • Paul Melvin
چکیده

We give a geometric interpretation of Milnor's invariants ¯ µ(ijk) in terms of triple intersection points of Seifert surfaces for the three link components. This generalizes ideas from Cochran [Co] to links which are not algebraically split. We recall how to compute ¯ µ(ijk) from Milnor [Mi]. Given a link L, its link group π 1 (S 3 − L) has a Wirtinger presentation, generated by the arcs of the link diagram. We also have a presentation of the link group modulo the qth subgroup in its lower central series (see [Mi]):

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تاریخ انتشار 2001