Neslihan Gügümcü, Louis H. Kauffman, Sofia Lambropoulou
Published 2018-11-28Version 1
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.
Comments: 20 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 all, Eds
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