Floer homology for 2-torsion instanton invariants

Details Floer homology for 2-torsion instanton invariants Floer homology for 2-torsion instanton invariants

2008-11-05

arxiv.org/abs/0811.0644v3

Mathematics

Geometric Topology

48 pages

Scientific paper

We construct a variant of Floer homology groups and prove a gluing formula for a variant of Donaldson invariants. As a corollary, the variant of Donaldson invariants is non-trivial for connected sums of 4-manifolds which satisfy a condition for Donaldson invariants. We also show a non-existence result of compact, spin 4-manifolds with boundary some homology 3-spheres and with certain intersection forms.

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