English

Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs

Geometric Topology 2016-03-15 v1

Abstract

The notion of a pseudoknot is defined as an equivalence class of knot diagrams that may be missing some crossing information. We provide here a topological invariant schema for pseudoknots and their relatives, 4-valent rigid vertex spatial graphs and singular knots, that is obtained by replacing unknown crossings or vertices by rational tangles.

Keywords

Cite

@article{arxiv.1603.03808,
  title  = {Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs},
  author = {Allison Henrich and Louis H. Kauffman},
  journal= {arXiv preprint arXiv:1603.03808},
  year   = {2016}
}

Comments

10 pages, 12 figures

R2 v1 2026-06-22T13:09:14.755Z