English

Dehn surgery and Seifert surface system

Geometric Topology 2014-06-25 v1

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.

Keywords

Cite

@article{arxiv.1406.6264,
  title  = {Dehn surgery and Seifert surface system},
  author = {Makoto Ozawa and Koya Shimokawa},
  journal= {arXiv preprint arXiv:1406.6264},
  year   = {2014}
}

Comments

8 pages, 3 figures

R2 v1 2026-06-22T04:45:51.908Z