The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy
Geometric Topology
2012-02-28 v1 Quantum Algebra
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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Cite
@article{arxiv.1202.5694,
title = {The Generating Functional of the Kontsevich Integral and its Derivation as a Holonomy},
author = {Renaud Gauthier},
journal= {arXiv preprint arXiv:1202.5694},
year = {2012}
}
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46 pages