Braids in the projective plane act on labels of a dual graph via the Desargues flip, and isotopic braids produce identical label transformations.
Pentagon equations, Delaunay triangulations and pure braid group invariant
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abstract
We construct $(2n+1)\times (2n+1)$ matrices corresponding to a motion of points on the plane from the point of view of Delaunay triangulations. We define a homomorphism from the pure braid group on ($n+3$) strands to the general linear group $\text{GL}_{2n+1}(\mathbb{Q})$.
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math.GT 1years
2024 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Octagon and tropical octagon yield braid invariants
Braids in the projective plane act on labels of a dual graph via the Desargues flip, and isotopic braids produce identical label transformations.