arXiv Analytics

Sign in

arXiv:0712.1797 [math.GT]AbstractReferencesReviewsResources

Lens space surgeries & primitive/Seifert type constructions

Michael J. Williams

Published 2007-12-11Version 1

We show that lens space surgeries on knots in $S^3$ which arise from the primitive/Seifert type construction also arise from the primitive/primitive construction. This is the first step of a three step program to prove the Berge conjecture for tunnel number one knots.

Comments: 18 pages, 8 figures
Categories: math.GT
Subjects: 57M25
Related articles: Most relevant | Search more
arXiv:1008.1034 [math.GT] (Published 2010-08-05, updated 2011-02-04)
Knot commensurability and the Berge conjecture
arXiv:1805.03455 [math.GT] (Published 2018-05-09)
Homology spheres yielding lens spaces
arXiv:1302.7011 [math.GT] (Published 2013-02-27)
Some knots in S^1 x S^2 with lens space surgeries