Null-homologous links in certain 4-manifolds

Akira Yasuhara

doi:10.1142/S0218216599000092

Null-homologous links in certain 4-manifolds

Akira Yasuhara^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	115-123
Number of pages	9
Journal	Journal of Knot Theory and its Ramifications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1142/S0218216599000092
Publication status	Published - 1999 Jan 1
Externally published	Yes

Keywords

4-manifold
Intersection matrix
Linking number
Null-homologous link

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216599000092

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AB - 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.

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KW - Linking number

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Null-homologous links in certain 4-manifolds

Abstract

Keywords

ASJC Scopus subject areas

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