TY - JOUR
T1 - Null-homologous links in certain 4-manifolds
AU - Yasuhara, Akira
PY - 1999/1/1
Y1 - 1999/1/1
N2 - 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.
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.
KW - 4-manifold
KW - Intersection matrix
KW - Linking number
KW - Null-homologous link
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U2 - 10.1142/S0218216599000092
DO - 10.1142/S0218216599000092
M3 - Article
AN - SCOPUS:0033476606
VL - 8
SP - 115
EP - 123
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
SN - 0218-2165
IS - 1
ER -