Presentation of immersed surface-links by marked graph diagrams

2017/07/15 by Kamada, Seiichi, Kawauchi, Akio, Kim, Jieon +1
#57Q45 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1707.04688

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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