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Knots in Montreal
April 7-8, 2001
Universite du Quebec a Montreal
Montreal, QC, Canada

Organizers
S. Boyer, A. S. Sikora

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Seifert surgeries which do not arise from primitive/Seifert constructions
by
Thomas Mattman
California State University, Chico
Coauthors: Miyazaki, 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: April 2, 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 # cahe-08.