English

Braids and crossed modules

Algebraic Topology 2013-03-12 v2 Group Theory

Abstract

We describe Artin's braid group on a (fixed) finite number of strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations.

Keywords

Cite

@article{arxiv.0904.3895,
  title  = {Braids and crossed modules},
  author = {Johannes Huebschmann},
  journal= {arXiv preprint arXiv:0904.3895},
  year   = {2013}
}

Comments

18 pages

R2 v1 2026-06-21T12:54:52.005Z