English

On homotopy braids

Group Theory 2021-03-29 v2 Geometric Topology

Abstract

Homotopy braid group is the subject of the paper. First, linearity of homotopy braid group over the integers is proved. Then we prove that the group homotopy braid group on three strands is torsion free.

Keywords

Cite

@article{arxiv.2008.07806,
  title  = {On homotopy braids},
  author = {V. G. Bardakov and V. V. Vershinin and Jie Wu},
  journal= {arXiv preprint arXiv:2008.07806},
  year   = {2021}
}

Comments

10 pages

R2 v1 2026-06-23T17:55:52.991Z