By V. Manturov and Seongyeom Kim

We construct a group $\Gamma_{n}^{4}$ corresponding to the motion of points in $\mathbb{R}^{3}$ from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on $n$ strands to the product of copies of $\Gamma_{n}^{4}$. We will also study the group of pure braids in $\mathbb{R}^{3}$, which is... Show more

March 1, 2019

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Artin's braids, Braids for three space, and groups $Γ_{n}^{4}$ and $G_{n}^{k}$

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