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Artin's braids, Braids for three space, and groups Γn4Γ_{n}^{4} and GnkG_{n}^{k}

By V. Manturov and Seongyeom Kim
We construct a group Γn4\Gamma_{n}^{4} corresponding to the motion of points in R3\mathbb{R}^{3} from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on nn strands to the product of copies of Γn4\Gamma_{n}^{4}. We will also study the group of pure braids in R3\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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