  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.
