arXiv Analytics

Sign in

arXiv:math/0101148 [math.GT]AbstractReferencesReviewsResources

Heegaard splittings of exteriors of, two bridge knots

Tsuyoshi Kobayashi

Published 2001-01-18, updated 2001-06-28Version 2

In this paper, we show that, for each non-trivial two bridge knot K and for each g > 2, every genus g Heegaard splitting of the exterior E(K) of K is reducible.

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper20.abs.html
Journal: Geom. Topol. 5(2001) 609-650
Categories: math.GT
Subjects: 57M25, 57M05
Related articles: Most relevant | Search more
arXiv:math/9911254 [math.GT] (Published 1999-11-20)
Classification of unknotting tunnels for two bridge knots
arXiv:math/0608137 [math.GT] (Published 2006-08-05, updated 2009-03-31)
Heegaard splittings of knot exteriors
arXiv:1411.1850 [math.GT] (Published 2014-11-07)
Stick numbers of $2$-bridge knots and links

Links

Toolbox