Geodesic
Links with trivial Alexander module and nontrivial Milnor invariants
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 17 (2015), pp. 41-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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Cochran constructed many links with Alexander module that of the unlink and some nonvanishing Milnor invariants, using as input commutators in a free group and as an invariant the longitudes of the links. We present a different and conjecturally complete construction, that uses elementary properties of clasper surgery, and a different invariant, the tree-part of the LMO invariant. Our method also constructs links with trivial higher Alexander modules and nontrivial Milnor invariants.
Keywords: Alexander module, claspers, Aarhus integral
Mots-clés : Milnor invariants, LMO invariant. 
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     title = {Links with trivial {Alexander} module and nontrivial {Milnor} invariants},
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S. Garoufalidis. Links with trivial Alexander module and nontrivial Milnor invariants. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 17 (2015), pp. 41-49. http://geodesic.mathdoc.fr/item/VCHGU_2015_17_a4/

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