Heegaard splittings of exteriors of two bridge knots

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

Keywords

two bridge knot, Heegaard splitting

Mathematical Subject Classification 2000

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

Tsuyoshi Kobayashi
Department of Mathematics Nara Women’s University Kita-Uoya Nishimachi Nara 630-8506 Japan

Volume 5, issue 2 (2001)

Tsuyoshi Kobayashi