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Braids act on configurations of lines

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arxiv 2306.07079 v1 pith:TP6V2GZQ submitted 2023-06-12 math.CO

Vassily Olegovich Manturov This is my paper · ORCID
classification math.CO
keywords configurationslinesbraidssimilarityappearbraidbranchescubes
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Similar pictures appear in various branches of mathematics. Sometimes this similarity gives rise to deep theorems. Mentioning such a similarity between hexagonal tilings, cubes in 3-space, configurations of lines and braid groups, we prove that braids act on configurations of lines.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Shear coordinates and braid invariants

    math.GT 2025-05 conditional novelty 5.0 of 10

    The paper constructs a braid invariant from shear-coordinate transformations applied to the edges of Delaunay triangulations.

  2. Octagon and tropical octagon yield braid invariants

    math.GT 2024-11 reject novelty 5.0 of 10

    Braids in the projective plane act on labels of a dual graph via the Desargues flip, and isotopic braids produce identical label transformations.

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