Braidoids

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Date
2020-09-03MFO Scientific Program
OWLF 2019Series
Oberwolfach Preprints;2020,17Author
Gügümcü, Neslihan
Lambropoulou, Sofia
Metadata
Show full item recordOWP-2020-17
Abstract
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 $\mathbb{R}^2$, 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.