Article Dans Une Revue Algebraic and Geometric Topology Année : 2020

Splitting formulas for the rational lift of the Kontsevich integral

Résumé

Kricker defined an invariant of knots in homology 3-spheres which is a rational lift of the Kontsevich integral, and proved with Garoufalidis that this invariant satisfies splitting formulas with respect to a surgery move called null-move. We define a functorial extension of the Kricker invariant and prove splitting formulas for this functorial invariant with respect to null Lagrangian-preserving surgery, a generalization of the null-move. We apply these splitting formulas to the Kricker invariant.

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hal-01516638 , version 1 (02-05-2017)

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Delphine Moussard. Splitting formulas for the rational lift of the Kontsevich integral. Algebraic and Geometric Topology, 2020. ⟨hal-01516638⟩
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