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Nombres de Milnor d’un entrelacs Brunnien. (Milnor numbers of Brunnian links). (French) Zbl 0581.57004
A link in the 3-sphere is said to be Brunnian if any of the sublinks which are obtained by removing one of its components is trivial. The authors introduce an invariant for p-component Brunnian links, which is a non-commutative polynomial. Using this polynomial, they compute the Milnor number $$\mu$$ (1,...,p) and the Massey product associated to such a link. In particular, they recover a simple proof of the connection between Milnor numbers and Massey products, in the case of Brunnian links. In the course of the proofs, they also give a geometrical algorithm to determine their polynomial invariant, and to describe a Massey system for a Brunnian link.
Reviewer: F.Bonahon

##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010) 55S30 Massey products
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