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

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

1999-05-10

arxiv.org/abs/math/9905050v2

Mathematics

Differential Geometry

26 pages, no figures, Latex2e, to appear in Math. Nach

Scientific paper

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 Oszv\'ath and Szab\'o.

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