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By using a blow-up construction, the nearby-cycle functor and l-adic Fouriertransform, Abbes and Saito are able to define a geometric measure of wildramification of l-adic sheaves on the generic point of any complete discretevaluation ring of equal characteristic p with perfect residue field, where p isdifferent from l. In this paper, we adapt their construction to differentialmodules over the field of formal Laurent series with coefficients in anycharacteristic zero field K. For such a module M, we prove a formula relatingAbbes and Saito's construction to the differential forms occuring in theLevelt-Turrittin decomposition of M. If K is algebraically closed, one recoversa version of Laurent's micro-characteristic cycles.

La construction d'Abbes et Saito pour les connexions m\'eromorphes: aspect formel en dimension 1