Splitting formulas for the rational lift of the Kontsevich integral

Delphine Moussard

doi:10.2140/agt.2020.20.303

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arXiv · 1705.01315

Splitting formulas for the rational lift of the Kontsevich integral

Delphine Moussard

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Abstract

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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Delphine Moussard. 2017-05-03. Splitting formulas for the rational lift of the Kontsevich integral. https://doi.org/10.2140/agt.2020.20.303

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