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A product formula of Seiberg-Witten invariants

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Abstract

Let X be a 4-manifold obtained by gluing twosymplectic 4-manifolds X_i, i=1 , 2, along embedded surfaces.Using the gradient flow of a functional on 3-dimensionalSeiberg-Witten theory along the cylindrical end, we study theSeiberg-Witten equations on X and have a product formula ofSeiberg-Witten invariants on X from the ones on X_i, i=1 ,2.

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