Shear coordinates and braid invariants

2025/05/08 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2505.06309

openalex publication_date 2025/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a way of using shear coordinates in hyperbolic geometry to get invariants of braids. This method also has a tropical analogue.

Citations

• Pentagon equations, Voronoï tilings and pure braid groups invariant
• Braids act on configurations of lines
• Incidences and tilings
• The Multidimensional Cube Recurrence

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