Mathematics > Geometric Topology
[Submitted on 31 Dec 2022
]
Title: Marked Graph Mosaics
Title: 标记图马赛克
Abstract: We consider the notion of mosaic diagrams for surface-links using marked graph diagrams. We establish bounds, in some cases tight, on the mosaic numbers for the surface-links with ch-index up to 10. As an application, we use mosaic diagrams to enhance the kei counting invariant for unoriented surface-links as well as classical knots and links.
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