On the LMO Invariant, the Wheeling Theorem, and the Aarhus Integral

Renaud Gauthier

Published 2010-10-13, updated 2010-11-21Version 3

In a previous paper, we generalized the definition of the framed Kontsevich integral initially presented by Le and Murakami. We also defined an isotopy invariant $\widetilde{Z}_f$ that is well-behaved under band sum moves. Using this invariant we study the construction of the LMO invariant, the Wheeling Theorem, and the Aarhus integral.