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arXiv:math/0209138 [math.GT]AbstractReferencesReviewsResources

Knots with unique minimal genus Seifert surface and depth of knots

Mark Brittenham

Published 2002-09-11, updated 2003-10-13Version 2

We describe a procedure for creating infinite families of hyperbolic knots having unique minimal genus Seifert surface. A large subset of these knots have the further property that the surface cannot be the sole compact leaf of a depth one foliation of the knot exterior.

Comments: 19 pages, 17 figures. Minor revisions to the original submission
Categories: math.GT
Subjects: 57M25
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