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Based chord diagrams of spherical curves

Geometric Topology 2022-06-14 v1

Abstract

This paper demonstrates an approach for developing a framework to produce invariants of base-point-free generic spherical curves under some chosen local moves from Reidemeister moves using based chord diagrams. Our invariants not only contain Arnold's classical generic spherical curve invariant but also new invariants.

Keywords

Cite

@article{arxiv.2004.12121,
  title  = {Based chord diagrams of spherical curves},
  author = {Noboru Ito},
  journal= {arXiv preprint arXiv:2004.12121},
  year   = {2022}
}

Comments

21 pages, 21 figures, 15 tables