A survey on knotoids, braidoids and their applications
Geometric Topology
2019-03-06 v2
Abstract
This paper is a survey on the theory of knotoids and braidoids. Knotoids are open ended knot diagrams in surfaces and braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids in the plane. We survey through the fundamental notions and existing works on these objects as well as their applications in the study of proteins.
Keywords
Cite
@article{arxiv.1811.11648,
title = {A survey on knotoids, braidoids and their applications},
author = {Neslihan Gügümcü and Louis H. Kauffman and Sofia Lambropoulou},
journal= {arXiv preprint arXiv:1811.11648},
year = {2019}
}
Comments
23 pages, 20 figures. The paper will appear in 'Knots, Low-dimensional Topology and Applications' with subtitle 'Proceedings of the Conference Knots, Low-dimensional Topology and Applications - Knots in Hellas 2016', Springer Proceedings in Mathematics & Statistics (PROMS); C. Adams et al, Eds