Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Finite and cyclic surgeries on pretzel knots


Speaker: Thomas W. Mattman, Cal. State Chico
Location: 693 Kerr
Start time: Wed, Apr 16 2003, 4:10PM

We present a classification of Dehn surgeries on $(p,q,r)$ pretzel knots resulting in a manifold $M(\alpha)$ having cyclic fundamental group and analyse those leading to a finite fundamental group. The proof uses the theory of cyclic and finite surgeries developed by Culler, Shalen, Boyer, and Zhang. In particular, Culler-Shalen seminorms play a central role.