The Seiberg-Witten invariants and 4-manifolds with essential tori.
Taubes, Clifford Henry (2001)
Geometry & Topology
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Let a compact connected oriented 4-manifold. We study the space of -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all -structures . We prove that, on a complex Kähler surface, for an hermitian metric sufficiently close to the original Kähler metric, the...