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Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures

Vicente Muñoz·Bai-Ling Wang
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Abstract

We determine the Seiberg-Witten-Floer homology groups of the three-manifold which is the product of a surface of genus $g \geq 1$ times the circle, together with its ring structure, for spin-c structures which are non-trivial on the three-manifold. We give applications to computing Seiberg-Witten invariants of four-manifolds which are connected sums along surfaces and also we reprove the higher type adjunction inequalities previously obtained by Oszváth and Szabó.

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Vicente Muñoz, Bai-Ling Wang. 2004-11-28. Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures. https://arxiv.org/abs/math/9905050

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