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Symplectic structure on ruled surfaces and a generalized adjunction formula

Symplectic structure on ruled surfaces and a generalized adjunction formula

In this section, we state the theorems needed in our paper.Recently, Seiberg and Witten ([SW], [Wi]) have introduced a new set of 4-manifold invariants.These invariants are in similar spirit to Donaldson invariants but much easier to handle.Various longstanding conjectures including the Thom conjecture are proved using Seiberg-Witten invariants.An important ingredient …