Alexander Invariants Of Knot Groups
|Date||Thursday, October 30, 2014|
In this talk we will introduce Alexander invariants of knots by way of their knot group. By using a Wirtinger presentation of a knot group we can draw many conclusions about their Alexander invariants, including the vanishing of the zeroth elementary ideal, principality of the first elementary ideal, and normalization of the Alexander polynomial. Time-permitting we will discuss the twisted versions of the above constructions.