Floer homology for 2-torsion instanton invariants

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)471-524
Number of pages54
JournalAsian Journal of Mathematics
Volume17
Issue number3
DOIs
Publication statusPublished - Oct 29 2013

Fingerprint

Gluing
Floer Homology
Instantons
Torsional stress
Torsion
4-manifold
Invariant
Connected Sum
Manifolds with Boundary
Homology Groups
Nonexistence
Homology
Corollary
Intersection

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Floer homology for 2-torsion instanton invariants. / Sasahira, Hirofumi.

In: Asian Journal of Mathematics, Vol. 17, No. 3, 29.10.2013, p. 471-524.

Research output: Contribution to journalArticle

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