The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy

Renaud Gauthier

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arXiv · 1202.5694

The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy

Renaud Gauthier

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Abstract

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 particular connection, the holonomy along a loop in the base is shown to be generating the Kontsevich integral for that loop's associated braid.

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Renaud Gauthier. 2012-02-25. The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy. https://arxiv.org/abs/1202.5694

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