Mod 2 Seiberg-Witten invariants of homology tori

Details Mod 2 Seiberg-Witten invariants of homology tori Mod 2 Seiberg-Witten invariants of homology tori

2000-03-15

arxiv.org/abs/math/0003092v1

Mathematics

Differential Geometry

10 pages, 1 figure

Scientific paper

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 H^1(X). We also consider some examples of homology tori.

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