On Vassiliev invariants of braid groups of the sphere

2012/02/16 by N. Kaabi, Kaabi, N., V. V. Vershinin +1 · 1 citation
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1202.3557

Abstract

We construct a universal Vassiliev invariant for braid groups of the sphere and the mapping class groups of the sphere with n punctures. The case of a sphere is different from the classical braid groups or braids of oriented surfaces of genus strictly greater than zero, since Vassiliev invariants in a group without 2-torsion do not distinguish elements of braid group of a sphere.

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