Splitting formulas for the rational lift of the Kontsevich integral - Archive ouverte HAL
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.
Fichier principal
Vignette du fichier
ExtLMOFunctor.pdf (356.66 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

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

Identifiants

Citer

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

Altmetric

Partager

More