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Kricker defined an invariant of knots in homology 3-spheres which is arational lift of the Kontsevich integral, and proved with Garoufalidis thatthis invariant satisfies splitting formulas with respect to a surgery movecalled null-move. We define a functorial extension of the Kricker invariant andprove splitting formulas for this functorial invariant with respect to nullLagrangian-preserving surgery, a generalization of the null-move. We applythese splitting formulas to the Kricker invariant.

Splitting formulas for the rational lift of the Kontsevich integral