On Vassiliev invariants of braid groups of the sphere

Details On Vassiliev invariants of braid groups of the sphere On Vassiliev invariants of braid groups of the sphere

2012-02-16

arxiv.org/abs/1202.3557v1

Mathematics

Group Theory

16 pages

Scientific paper

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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