English

Floer homology for 2-torsion instanton invariants

Geometric Topology 2010-08-27 v3

Abstract

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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Cite

@article{arxiv.0811.0644,
  title  = {Floer homology for 2-torsion instanton invariants},
  author = {Hirofumi Sasahira},
  journal= {arXiv preprint arXiv:0811.0644},
  year   = {2010}
}

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48 pages