Invariants of Classical Braids Valued in $G_{n}^{2}$

Vassily Olegovich Manturov

Invariants of Classical Braids Valued in $G_{n}^{2}$

Geometric Topology 2016-12-02 v2

Authors: Vassily Olegovich Manturov

Abstract

The aim of the present note is to construct invariants of the Artin braid group valued in $G_{N}^{2}$ , and further study of groups related to $G_{n}^{3}$ . In the groups $G_{n}^{2}$ , the word problem is solved; these groups are much simpler than $G_{n}^{3}$ .

Keywords

classical braids invariants Artin braid group G_n^2 groups word problem G_n^3 groups

Cite

@article{arxiv.1611.07434,
  title  = {Invariants of Classical Braids Valued in $G_{n}^{2}$},
  author = {Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:1611.07434},
  year   = {2016}
}

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6 pages

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