Mod 2 Seiberg-Witten invariants of homology tori
Daniel Ruberman, Saso Strle
Abstract
We show that the mod 2 Seiberg-Witten invariant can be determined for a spin manifold X which has the same homology groups as the 4-torus. The value depends on the structure of the cohomology ring of X, and in particular on the 4-fold cup product on H1(X). We also consider some examples of homology tori.
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