Abstract
In this paper, we show that, for each non-trivial two bridge knot and for each , every genus Heegaard splitting of the exterior of is reducible.
Citation
Tsuyoshi Kobayashi. "Heegaard splittings of exteriors of two bridge knots." Geom. Topol. 5 (2) 609 - 650, 2001. https://doi.org/10.2140/gt.2001.5.609
Information
Received: 23 February 2001; Accepted: 5 June 2001; Published: 2001
First available in Project Euclid: 21 December 2017
zbMATH: 1002.57008
MathSciNet: MR1857522
Digital Object Identifier: 10.2140/gt.2001.5.609
Subjects:
Primary:
57M25
Secondary:
57M05
Keywords:
Heegaard splitting
,
two bridge knot
Rights: Copyright © 2001 Mathematical Sciences Publishers