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2020 Splitting formulas for the rational lift of the Kontsevich integral
Delphine Moussard
Algebr. Geom. Topol. 20(1): 303-342 (2020). DOI: 10.2140/agt.2020.20.303

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. "Splitting formulas for the rational lift of the Kontsevich integral." Algebr. Geom. Topol. 20 (1) 303 - 342, 2020. https://doi.org/10.2140/agt.2020.20.303

Information

Received: 9 September 2018; Revised: 4 February 2019; Accepted: 24 February 2019; Published: 2020
First available in Project Euclid: 19 July 2021

Digital Object Identifier: 10.2140/agt.2020.20.303

Subjects:
Primary: 57M27
Secondary: 57M25, 57N10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 1 • 2020
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