Browsing by Author "Gügümcü, Neslihan"

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    Braidoids
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2020) Gügümcü, Neslihan; Lambropoulou, Sofia
    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 the notion of braidoids in R², a closure operation for braidoids, we prove an analogue of the Alexander theorem, namely 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.