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arXiv:1010.2422 [math.GT]AbstractReferencesReviewsResources

On the Foundations of the LMO Invariant

Renaud Gauthier

Published 2010-10-12, updated 2010-11-21Version 3

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.

Comments: This paper has been withdrawn by the author as the claim that \check{Z}_f is ill-behaved under band sum moves becomes incorrect once we implicitly take associators into consideration
Categories: math.GT, math.QA
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