• Mathematics
  • Published 2010

On the cube of the equivariant linking pairing for knots and 3--manifolds of rank one

@inproceedings{Lescop2010OnTC,
  title={On the cube of the equivariant linking pairing for knots and 3--manifolds of rank one},
  author={Christine Lescop},
  year={2010}
}
Let M be a closed oriented 3-manifold with first Betti number one. Its equivariant linking pairing may be seen as a two-dimensional cohomology class in an appropriate infinite cyclic covering of the space of ordered pairs of distinct points of M. We show how to define the equivariant cube Q(K) of this Blanchfield pairing with respect to a framed knot K that generates H_1(M)/Torsion. This article is devoted to the study of the invariant Q. We prove many properties for this invariant including… CONTINUE READING

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