Braids act on configurations of lines

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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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-02-15
DOI
https://doi.org/10.1142/s0218216525400036
Primary Topic
Architecture and Computational Design
Type
article
Field-Weighted Citation Impact
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article

Braids act on configurations of lines

Vassily Olegovich Manturov
Journal of Knot Theory and Its Ramifications
Architecture and Computational Design
article

Braids act on configurations of lines

Vassily Olegovich Manturov
article en

Abstract

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.

Journal of Knot Theory and Its RamificationsVol. 34(14)
Moscow Institute of Physics and Technology (RU)
Openalex Percentile: Top 97%
Architecture and Computational Design
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Braids act on configurations of lines — Vassily Olegovich Manturov · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS