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On Milnor's link-homotopy invariants
by
Kodai Wada
Waseda University
J. Milnor defined two kinds of link-homotopy invariants [&175;(μ)] and μ*. By definition it would seem that the [&175;(μ)]-invariant is stronger than the μ*-invariant. The problem was posed at the 1982 Sussex conference if the [&175;(μ)]-invariant is actually stronger. In this talk we give infinitely many examples that for non-repeated sequences of length greater than four [&175;(μ)] and μ* are distinct. For sequences of length not greater than four, Milnor has shown that [&175;(μ)]=μ*.
Date received: September 15, 2016
Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbnq-07.