Tittel: Knot quandles

Veileder: Markus Szymik

Sammendrag: In this paper we will first define the quandle as an algebraic object, then use the quandle to construct the fundamental quandle of a knot. We will then see how the quandle relates to it’s automorphism group, and show it’s relation to coloring of knots and enhancements. We will finish the paper by generalizing (or failing to generalize) the fundamental quandle to manifolds of codimension 2, in particular knotted surfaces.