A survey on knotoids, braidoids and their applications. (English) Zbl 1423.57027
Adams, Colin C. (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016. Cham: Springer. Springer Proc. Math. Stat. 284, 389-409 (2019).
Summary: 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.
For the entire collection see [Zbl 1419.57001].
For the entire collection see [Zbl 1419.57001].
MSC:
| 57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
| 57-02 | Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
| 92C99 | Physiological, cellular and medical topics |
