English

Presentation of immersed surface-links by marked graph diagrams

Geometric Topology 2017-07-18 v1

Abstract

It is well known that surface-links in 4-space can be presented by diagrams on the plane of 4-valent spatial graphs with makers on the vertices, called marked graph diagrams. In this paper we extend the method of presenting surface-links by marked graph diagrams to presenting immersed surface-links. We also give some moves on marked graph diagrams that preserve the ambient isotopy classes of their presenting immersed surface-links.

Keywords

Cite

@article{arxiv.1707.04688,
  title  = {Presentation of immersed surface-links by marked graph diagrams},
  author = {Seiichi Kamada and Akio Kawauchi and Jieon Kim and Sang Youl Lee},
  journal= {arXiv preprint arXiv:1707.04688},
  year   = {2017}
}