Diagram colourings

Patrick Dehornoy (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

This paper reviews some results involving arc colourings in a braid or a link diagram. The left self-distributivity idendity then appears as an algebraic counterpart to Reidemeister move of type~III. Using classical and less classical self-distributive operations leads to a number of different results, as well as to many open questions.

Mots clés: braid; knot; self-distributive operation; colouring; invariant

Domaines: Topologie géométrique [math.GT]

Patrick Dehornoy. Diagram colourings. 2004, pp.37-64. ⟨hal-00004158⟩