Donaldson invariants for non-simply connected manifolds

We study Coulomb branch ("u-plane") integrals for N = 2 supersymmetric SU(2), SO(3) Yang-Mills theory on 4-manifolds X of b(1)(X) > 0, b(2)(+)(X) = 1. Using wall-crossing arguments we derive expressions for the Donaldson invariants for manifolds with b(1) (X) > 0, b(2)(+)(X) > 0. Explicit expressions for X = CP1 x F-g, where F-g is a Riemann surface of genus g are obtained using Kronecker's double series identity. The result might be useful in future studies of quantum cohomology.