Dehn surgery and Seifert surface system

Abstract

For a compact connected 3-submanifold with connected boundary in the 3-sphere, we relate the existence of a Seifert surface system for a surface with a Dehn surgery along a null-homologous link. As its corollary, we obtain a refinement of the Fox's re-embedding theorem.

8 pages, 3 figures

References in corpus (1)

• Ricci flow with surgery on three-manifolds

Cited by in corpus (2)

• Knot homotopy in subspaces of the 3-sphere
• Unknotting submanifolds of the 3-sphere by twistings