Knots, Surfaces, 3-manifolds, and the Kakimizu Complex

Start: 12/09/2015 - 4:15pm
End  : 12/09/2015 - 5:15pm


Robin Wilson (Cal Poly Pomona)


The study of knots, surfaces, and 3-manifolds is part of a subfield of mathematics known as low-dimensional topology that involves the study of topological spaces of dimensions one through four.  The areas of knot theory and 3-manifold topology are closely related.  In fact, the exterior of a knot is itself an example of a 3-manifold.  One approach to studying 3-manifolds is to understand the surfaces that are contained in them.  In this talk I will give an introduction to knot theory, its connections with 3-manifold topology, and the study of surfaces in 3-manifolds and knot exteriors.  I will also discuss some recent research about Seifert surfaces in knot complements.  The talk is intended to be accessible to students of mathematics at all levels.

Argue Auditorium, Millikan, Pomona College