Floer homology for 2-torsion instanton invariants

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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.

Original languageEnglish
Pages (from-to)471-524
Number of pages54
JournalAsian Journal of Mathematics
Issue number3
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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