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math.GT2010★ 2 cited
On the LMO Invariant, the Wheeling Theorem, and the Aarhus Integral
Renaud Gauthier
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 …
math.GT2010★ 3 cited
On the Foundations of the LMO Invariant
Renaud Gauthier
We generalize the definition of the framed Kontsevich integral initially presented by T.Q.T.Le and J.Murakami. We define an isotopy invariant that behaves well un…
math.GT2010★ 1 cited
The Kontsevich Integral in Book Notation
Renaud Gauthier
We introduce a matrix representation of a chord on a tangle which leads us to representing tangle chord diagrams as stacks of matrices that we call books. We show that band sum mov…