arXiv Analytics

Sign in

arXiv:0809.4435 [math.GT]AbstractReferencesReviewsResources

Boundary slopes and the numbers of positive/negative crossings for Montesinos knots

Kazuhiro Ichihara, Shigeru Mizushima

Published 2008-09-25Version 2

We show that a finite numerical boundary slope of an essential surface in the exterior of a Montesinos knot is bounded above and below in terms of the numbers of positive/negative crossings of a specific minimal diagram of the knot.

Comments: 15 pages, 11 figures
Categories: math.GT
Subjects: 57M25
Related articles: Most relevant | Search more
arXiv:1209.0197 [math.GT] (Published 2012-09-02, updated 2016-01-04)
Exceptional and cosmetic surgeries on knots
arXiv:2102.01937 [math.GT] (Published 2021-02-03)
The ${\rm SL}(2,\mathbb{C})$-character variety of a Montesinos knot
arXiv:math/0510370 [math.GT] (Published 2005-10-18, updated 2007-09-13)
Crossing number and diameter of boundary slope set of Montesinos knot

Links

Toolbox