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arXiv:0910.4912 [math.GT]AbstractReferencesReviewsResources

The Jones polynomial and boundary slopes of alternating knots

Cynthia L. Curtis, Samuel Taylor

Published 2009-10-26, updated 2014-01-13Version 3

We show for an alternating knot the minimal boundary slope of an essential spanning surface is given by the signature plus twice the minimum degree of the Jones polynomial and the maximal boundary slope of an essential spanning surface is given by the signature plus twice the maximum degree of the Jones polynomial. For alternating Montesinos knots, these are the minimal and maximal boundary slopes.

Comments: 8 pages, 4 figures
Journal: J. Knot Theory Ramifications 20(10) (2011), 1345 - 1354
Categories: math.GT
Subjects: 57M25, 57M27
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