On the Foundations of the LMO Invariant

Abstract

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

This paper has been withdrawn by the author as the claim that \check{Z}_f is ill-behaved under band sum moves becomes incorrect once we implicitly take associators into consideration

Cited by in corpus (2)

• On the LMO Invariant, the Wheeling Theorem, and the Aarhus Integral
• The Kontsevich Integral in Book Notation