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  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.
ASJC Scopus subject areas
- Algebra and Number Theory