English

Marked Graph Mosaics

Geometric Topology 2023-01-03 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.2301.00287,
  title  = {Marked Graph Mosaics},
  author = {Seonmi Choi and Sam Nelson},
  journal= {arXiv preprint arXiv:2301.00287},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T07:58:27.305Z