Mod 2 Seiberg-Witten invariants of homology tori

2000/03/15 by Daniel Ruberman, Ruberman, Daniel, Sašo Strle +2
Mathematics · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:57R57

paper · pdf · doi:10.48550/arxiv.math/0003092

10 pages, 1 figure

arxiv created 2000/03/15 · arxiv updated 2009/11/30

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.

Related

• The mod 2 Seiberg-Witten invariants of spin structures and spin families
• The simple type conjecture for mod 2 Seiberg-Witten invariants
• Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures
• A cohomological Seiberg-Witten invariant emerging from the adjunction inequality
• Seiberg-Witten invariants, orbifolds, and circle actions