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math.GT2012
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…
math.GT2012★ 1 cited
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…
math.GT2012
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…