Knot Theory and the Fourth Dimension

Authors

Patricia Cahn, Smith College

Document Type

Presentation Abstract

Presentation Date

2-8-2021

Abstract

A mathematical knot is a positioning of a circle in space--imagine taking a piece of string, tangling it up somehow, and then glueing the ends together. We'll learn how knots can be used to represent 3-dimensional manifolds, using a combinatorial invariant called a Fox coloring, and then discuss analogous constructions in dimension 4 using knotted surfaces.

Additional Details

February 8, 2021 at 3:00 p.m. via Zoom

Recommended Citation

Cahn, Patricia, "Knot Theory and the Fourth Dimension" (2021). Colloquia of the Department of Mathematical Sciences. 615.
https://scholarworks.umt.edu/mathcolloquia/615