Geometry & Topology 5 (2001) 609–650

DOI: 10.2140/gt.2001.5.609

arXiv: math.GT/0101148

Abstract

In this paper, we show that, for each non-trivial two bridge knot K and for each g≥3, every genus g Heegaard splitting of the exterior E(K) of K is reducible.

Keywords

two bridge knot, Heegaard splitting

Mathematical Subject Classification

Primary: 57M25

Secondary: 57M05

References

Forward citations

Publication

Received: 23 February 2001
Accepted: 5 June 2001
Published: 27 June 2001
Proposed: Cameron Gordon
Seconded: Joan Birman, Robion Kirby

Authors