Floer homology and invariants of homology cobordism

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 1998
Externally publishedYes

Fingerprint

Floer Homology
Cobordism
Homology
Invariant
Homology Spheres
Surgery
Invariance
Integer
Zero

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Floer homology and invariants of homology cobordism. / Saveliev, Nikolai.

In: International Journal of Mathematics, Vol. 9, No. 2, 11.1998, p. 885-919.

Research output: Contribution to journalArticle

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