Donaldson Invariants for Non-Simply Connected Manifolds
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We study Coulomb branch (“u-plane”) integrals for \(\) 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 \(\), 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.
KeywordsManifold Future Study Riemann Surface Explicit Expression Coulomb Branch
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