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We prove an additivity property for the normalized Seiberg-Witten invariantswith respect to the universal abelian cover of those 3-manifolds, which areobtained via negative rational Dehn surgeries along connected sum of algebraicknots. Although the statement is purely topological, we use the theory ofcomplex singularities in several steps of the proof.  This topological covering additivity property can be compared with certainanalytic properties of normal surface singularities, especially with functorialbehaviour of the (equivariant) geometric genus of singularities. We presentseveral examples in order to find the validity limits of the proved property,one of them shows that the covering additivity property is not true fornegative definite plumbed 3-manifolds in general.

Seiberg-Witten invariant of the universal abelian cover of $S^3_{-p/q}(K)$