English

Cat\'egorification des coefficients de la matrice de la repr\'esentation de Burau

Geometric Topology 2010-11-25 v2

Abstract

We categorify the coefficients of the Burau representation matrix using elementary geometrical methods. We show the faithfulness of this categorification in the sense that it detects the trivial braid.

Keywords

Cite

@article{arxiv.0908.2515,
  title  = {Cat\'egorification des coefficients de la matrice de la repr\'esentation de Burau},
  author = {Abderrahmane Bouchair},
  journal= {arXiv preprint arXiv:0908.2515},
  year   = {2010}
}

Comments

19 pages in french, to appear in Annales de la Facult\'e des Sciences de Toulouse. Several changes added in version 2