arXiv Analytics

Sign in

arXiv:0710.1262 [math.GT]AbstractReferencesReviewsResources

Algorithmically detecting the bridge number of hyperbolic knots

Alexander Coward

Published 2007-10-05, updated 2012-03-27Version 2

We exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere. The proof uses adaptations of almost normal surface theory for compact surfaces with boundary in ideally triangulated knot exteriors.

Comments: 42 pages, 23 figures; v2 contains a rewritten introduction and updated references
Categories: math.GT
Subjects: 57M25
Related articles: Most relevant | Search more
arXiv:1512.03869 [math.GT] (Published 2015-12-12)
Independence of volume and genus $g$ bridge numbers
arXiv:0704.3390 [math.GT] (Published 2007-04-25)
Realizations of Seifert matrices by hyperbolic knots
arXiv:math/0510537 [math.GT] (Published 2005-10-25, updated 2006-06-05)
Angle structures and normal surfaces

Links

Toolbox