Multiple knots in a manifold with the same surgeries yielding S^3

Geometry Topology Seminar
Friday, November 21, 2008 - 14:00
1 hour (actually 50 minutes)
Skiles 269
University of Miami
Lickorish observed a simple way to make two knots in S^3 that produced the same manifold by the same surgery. Many have extended this result with the most dramatic being Osoinach's method (and Teragaito's adaptation) of creating infinitely many distinct knots in S^3 with the same surgery yielding the same manifold. We will turn this line of inquiry around and examine relationships within such families of corresponding knots in the resulting surgered manifold.