Presentation of immersed surface-links by marked graph diagrams

Seiichi Kamada; Akio Kawauchi; Jieon Kim; Sang Youl Lee

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arXiv · 1707.04688

Presentation of immersed surface-links by marked graph diagrams

Seiichi Kamada·Akio Kawauchi·Jieon Kim·Sang Youl Lee

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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.

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BibTeX RIS

Seiichi Kamada, Akio Kawauchi, Jieon Kim, Sang Youl Lee. 2017-07-15. Presentation of immersed surface-links by marked graph diagrams. https://arxiv.org/abs/1707.04688

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