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math.GT2022★ 1 cited
Invariants of multi-linkoids
Boštjan Gabrovšek, Neslihan Gügümcü
In this paper, we extend the definition of a knotoid that was introduced by Turaev, to multi-linkoids that consist of a number of knot and knotoid components. We study invariants o…
math.GT2021★ 6 cited
Quantum invariants of knotoids
Neslihan Gugumcu, Louis H. Kauffman
In this paper, we construct quantum invariants for knotoid diagrams in . The diagrams are arranged with respect to a given direction in the plane ({\it Morse knotoids…
math.GT2019
Braidoids
Neslihan Gügümcü, Sofia Lambropoulou
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,…