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Let M be a closed oriented 3-manifold with first Betti number one. Itsequivariant linking pairing may be seen as a two-dimensional cohomology classin an appropriate infinite cyclic covering of the configuration space ofordered pairs of distinct points of M. We show how to define the equivariantcube Q(M,K) of this Blanchfield pairing with respect to a framed knot K thatgenerates H_1(M;Z)/Torsion. We present the invariant Q(M,K) and some of itsproperties including a surgery formula. Via surgery, the invariant Q isequivalent to an invariant Q' of null-homologous knots in rational homologyspheres, that is conjecturally equivalent to the two-loop part of theKontsevich integral. We generalize the construction of Q' to obtain atopological construction for an invariant that is conjecturally equivalent tothe whole Kricker rational lift of the Kontsevich integral for null-homologousknots in rational homology spheres.

Knot invariants derived from the equivariant linking pairing