3 citations · 12 across the 21 of their papers we have counts for
7 papers · 1 filter
Infinity Links L, infinity-4-Manifolds M_L and Kirby Categories
Renaud Gauthier
We construct what we call a Kirby category, a monoidal category whose morphisms are smooth 4-manifolds, projecting down to another monoidal category whose morphisms are orientable…
Relaxed Cech Cohomology, Emeralds over Topological Spaces and the Kontsevich Integral
Renaud Gauthier
We introduce families of decorations of a same topological space, as well as a family of sheaves over such decorated spaces. Making those families a directed system leads to the co…
A Stringy Generalization of the Kontsevich Integral
Renaud Gauthier
We introduce a "minimal" Kontsevich integral that generates the original Kontsevich integral while at the same time producing ribbons whose boundaries are the braids on which the m…
The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy
Renaud Gauthier
We introduce an algebra bundle of chord diagrams over the configuration space of N points in the complex plane on which we put the Knizhnik-Zamolodchikov connection. For that parti…
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 …
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…