Floer homology and invariants of homology cobordism

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Abstract

By using surgery techniques, we compute Floer homology for certain classes of integral homology 3-spheres homology cobordant to zero. We prove that Floer homology is two-periodic for all these manifolds. Based on this fact, we introduce a new integer valued invariant of integral homology 3-spheres. Our computations suggest its homology cobordism invariance.

Original languageEnglish (US)
Pages (from-to)885-919
Number of pages35
JournalInternational Journal of Mathematics
Volume9
Issue number2
StatePublished - Nov 1 1998
Externally publishedYes

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Keywords

  • Floer homology
  • Homology 3-spheres
  • Homology cobordism
  • Seifert manifolds

ASJC Scopus subject areas

  • Mathematics(all)

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