Psybrackets, Pseudoknots and Singular Knots
Geometric Topology
2022-09-02 v2 Quantum Algebra
Abstract
We introduce algebraic structures known as psybrackets and use them to define invariants of pseudoknots and singular knots and links. Psybrackets are Niebrzydowski tribrackets with additional structure inspired by the Reidemeister moves for pseudoknots and singular knots. Examples and computations are provided.
Cite
@article{arxiv.2006.02276,
title = {Psybrackets, Pseudoknots and Singular Knots},
author = {Suhyeon Jeong and Jieon Kim and Sam Nelson},
journal= {arXiv preprint arXiv:2006.02276},
year = {2022}
}
Comments
13 pages; revised version includes improvements suggested by referee