Séminaire Algèbre Géométrie Algébrique Topologie Algébrique
jeudi 10 avril 2003 à - salle 431
Matias Graña (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.