A question of Turaev about triple higher Milnor linking numbers of divide links

  • Norbert A’Campo

    Universität Basel, Switzerland
A question of Turaev about triple higher Milnor linking numbers of divide links cover
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Abstract

The following question was pronounced, many years ago in Strasbourg, by Vladimir Turaev in the IRMA lecture room: Let LS3L \subset S^3 be a link consisting of divide knots K1;K2;;KnK_1;K_2; \dots ;K_n given by divides P1;P2;;PnP_1; P_2; \dots ;P_n. How to compute the Milnor higher linking numbers from the system of divides?

Also in the room was the question: Let LS3L \subset S^3 be a link consisting of knots K1;K2;;KnK_1;K_2; \dots ;K_n given by Turaev shadows S1;S2;;SnS_1; S_2; \dots ;S_n. How to compute the Milnor higher linking numbers from the system of shadows?

The present contribution answers the first question for the triple higher linking numbers.