Brandy Guntel Doleshal

Department of Mathematics and Statistics,
Sam Houston State University,
Huntsville, Texas 77341, USA.

Title: On knots with three cyclic surgeries

Abstract: John Berge introduced 12 families of knots that each permit a lens space surgery and conjectured that these are the only knots that admit two cyclic surgeries (an $S^3$ surgery and a lens space surgery). We examine knots that allow three cyclic surgeries. This is joint work with Ken Baker and Neil Hoffman.