On the Foundations of the LMO Invariant

Mathematics – Geometric Topology

Scientific paper

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This paper has been withdrawn by the author as the claim that \check{Z}_f is ill-behaved under band sum moves becomes incorrec

Scientific paper

We generalize the definition of the framed Kontsevich integral initially
presented by T.Q.T.Le and J.Murakami. We define an isotopy invariant
$\widetilde{Z}_f$ that behaves well under band sum moves.

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