On Vassiliev invariants of braid groups of the sphere
Group Theory
2012-02-17 v1
Abstract
We construct a universal Vassiliev invariant for braid groups of the sphere and the mapping class groups of the sphere with 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.
Keywords
Cite
@article{arxiv.1202.3557,
title = {On Vassiliev invariants of braid groups of the sphere},
author = {N. Kaabi and V. V. Vershinin},
journal= {arXiv preprint arXiv:1202.3557},
year = {2012}
}
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16 pages