NULL-HOMOLOGOUS LINKS IN CERTAIN 4-MANIFOLDS

Let M be a 4-manifold with ∂M ≅ S³ and L⊂ ∂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 , , and S² × S².