Donaldson invariants for non-simply connected manifolds
نویسنده
چکیده
We study Coulomb branch (“u-plane”) integrals for N = 2 supersymmetric SU(2), SO(3) Yang-Mills theory on 4-manifolds X of b1(X) > 0, b + 2 (X) = 1. Using wall-crossing arguments we derive expressions for the Donaldson invariants for manifolds with b1(X) > 0, b+2 (X) > 0. Explicit expressions for X = CP 1 × Fg, where Fg 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.
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