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Spring Topology and Dynamical Systems Conference
March 15-17, 2001
Centro de Convenciones
Morelia City, Michoacán, Mexico

Organizers
Alejandro Illanes, Sergio Macías, Jesus Muciño, María Luisa Pérez

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Seifert surgeries which do not arise from primitive/Seifert constructions
by
Thomas W. Mattman
Department of Mathematics and Statistics, CSU, Chico
Coauthors: Katura Miyazaki, Kimihiko Motegi

We construct two infinite families of knots each of which admits a Seifert surgery and none of which come from Dean's primitive Seifert-fibered construction. This disproves a conjecture that all Seifert surgeries come from Dean's construction. The starting point is the (-3, 3, 5) pretzel knot which belongs to both of the infinite families.

Date received: February 8, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagh-60.