English

Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links

Geometric Topology 2023-09-14 v1

Abstract

Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.

Keywords

Cite

@article{arxiv.2103.08314,
  title  = {Virtual Multicrossings and Petal Diagrams for Virtual Knots and Links},
  author = {Colin Adams and Chaim Even-Zohar and Jonah Greenberg and Reuben Kaufman and David Lee and Darin Li and Dustin Ping and Theodore Sandstrom and Xiwen Wang},
  journal= {arXiv preprint arXiv:2103.08314},
  year   = {2023}
}

Comments

19 pages, 18 figures