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Presentation of immersed surface-links by marked graph diagrams

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It is well known that surface-links in [Formula: see text]-space can be presented by diagrams on the plane of [Formula: see text]-valent spatial graphs with makers on the vertices, called… Click to show full abstract

It is well known that surface-links in [Formula: see text]-space can be presented by diagrams on the plane of [Formula: see text]-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: graph diagrams; surface; surface links; immersed surface; marked graph; links marked

Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2018

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