The partition function of a 3-dimensional topological scalar–vector model

A study of the partition function of a 3-dimensional scalar–vector model formally related via duality to the Rozansky–Witten topological σ-model is presented. The partition function is shown to consist of such topological quantities of a 3-dimensional manifold M like a lattice sum, the Reidemeister–Ray–Singer torsion τR(M) and the Massey product.