Braidoids

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Date

Volume

17

Issue

Journal

Series Titel

Oberwolfach Preprints (OWP)

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Publisher

Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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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 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.

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