Presents the rational Goussarov-Habiro Lie algebra of string links via primitive Feynman tree diagrams with 1T, AS, IHX, STU² relations and supplies a diagrammatic proof of Massuyeau's rational Goussarov-Habiro conjecture.
The Kontsevich integral
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abstract
This is an overview article on the Kontsevich integral written for the Encyclopedia of Mathematical Physics, to be published by Elsevier.
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Primitive Feynman diagrams and the rational Goussarov--Habiro Lie algebra of string links
Presents the rational Goussarov-Habiro Lie algebra of string links via primitive Feynman tree diagrams with 1T, AS, IHX, STU² relations and supplies a diagrammatic proof of Massuyeau's rational Goussarov-Habiro conjecture.