Differential Geometry Working Seminar

Alexander Teeter

Slice Knots and Knot Concordance

In this talk, we explore an overview of the interplay between Knot Theory and Four Dimensional Topology. Specifically, we look at both Topologically and Smoothly Slice Knots, which are Knots in S^3 that bound (smoothly) embedded disks in B^4. We explore some of the techniques in the proof that the conway knot is not smoothly slice, and look at some of the ideas involved the construction of exotic R^4s using such knots.

MC 5403