Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 10 avril 2003 à - salle 431

Présentée par Graña Matias - Université de Cordoba [Argentine] et Strasbourg

Knots and Graphs

We replace a knot or a link by a labeled graph with a flow. We propose then analogs of the Reidemeister moves for graphs and finally we give invariants for the class of graphs under these moves. These invariants are well known in terms of knots and links: the knot group, the knot quandle, the Alexander polynomial, the linking numbers.