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

Abstract

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 ${\tilde{Z}}_f$ 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.

This paper has been withdrawn by the author

References in corpus (5)

• The Aarhus integral of rational homology 3-spheres II: Invariance and universality
• Wheels, Wheeling, and the Kontsevich Integral of the Unknot
• On the Foundations of the LMO Invariant
• The Kontsevich integral and algebraic structures on the space of diagrams
• The Aarhus integral of rational homology 3-spheres III: The Relation with the Le-Murakami-Ohtsuki Invariant

Cited by in corpus (2)

• The Kontsevich Integral in Book Notation
• Homomorphic expansions for knotted trivalent graphs