Abstract: There is a method of finding the group presentation of a tame knot. However, it is not an easy task to distinguish groups given their presentations, even in particular examples. Therefore, one needs to find presentation invariants. We shall first consider the Alexander matrix and elementary ideals of a given finite presentation in a general setup then restrict our attention to knot groups and get knot polynomials which happen to be knot invariants of trivial distinguishability.
Date: †13 March 2009 Friday
Place: Bilkent, Mathematics Seminar Room SA-141
Tea and cookies will be served before the talk.