(Hebrew University Magnes Press, 2021) Güğümcü, Neslihan; Güğümcü, Neslihan; Lambropoulou, Sofia; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
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 L-moves.
