Null-homologous links in certain 4-manifolds

Research output: Contribution to journalArticle

Abstract

Let M be a 4-manifold with ∂M ≅ S3 and L C ∂M a link. The link L is null-homologous in M if L bounds a disjoint union of once-punctured, orientable surfaces in M. In a previous paper [1] the author defined null-homologous link in 4-manifolds and gave a necessary and sufficient condition for links to be null-homologous in 4-manifolds. By using this condition, we investigate the sets of null-homologous links in punctured ℂP2, ℂP2, ℂP2#ℂP2 and S2xS2.

Original languageEnglish
Pages (from-to)115-123
Number of pages9
JournalJournal of Knot Theory and its Ramifications
Volume8
Issue number1
DOIs
Publication statusPublished - 1999 Jan 1
Externally publishedYes

Fingerprint

4-manifold
Null
Disjoint
Union
Necessary Conditions
Sufficient Conditions

Keywords

  • 4-manifold
  • Intersection matrix
  • Linking number
  • Null-homologous link

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Null-homologous links in certain 4-manifolds. / Yasuhara, Akira.

In: Journal of Knot Theory and its Ramifications, Vol. 8, No. 1, 01.01.1999, p. 115-123.

Research output: Contribution to journalArticle

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