Back to Departmental Colloquium: Spring 2001
Departmental Colloquium
Date: Tuesday, Feb 6, 2001
Time: 4:15PM
Location: JWB 335
Jennifer Schultens
Emory University
Title |
The tunnel number of a knot |
Abstract |
The tunnel number of a knot is the minimal number of disjoint properly embedded arcs that must be removed from the complement of the knot in order to obtain a handlebody (i.e., a 3-dimensional fattening of a wedge of circles). We will compare and contrast the tunnel number with some of the other notions of complexity of a knot. Then we will discuss its apparently erratic behaviour under the operation of connected sum. |
Topology
Data Science and Machine Learning
Applied Mathematics