Braidoids
Geometric Topology
2021-03-01 v2 Quantum Algebra
Abstract
Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce basic notions of braidoids, a closure operation for braidoids, we prove an analogue of the Alexander theorem, that is, an algorithm that turns a knotoid into a braidoid, and we formulate and prove a geometric analogue of the Markov theorem for braidoids using the -moves.
Keywords
Cite
@article{arxiv.1908.06053,
title = {Braidoids},
author = {Neslihan Gügümcü and Sofia Lambropoulou},
journal= {arXiv preprint arXiv:1908.06053},
year = {2021}
}