#### Volume 5, issue 2 (2001)

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Heegaard splittings of exteriors of two bridge knots

### Tsuyoshi Kobayashi

Geometry & Topology 5 (2001) 609–650
 arXiv: math.GT/0101148
##### Abstract

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

##### Keywords
two bridge knot, Heegaard splitting
Primary: 57M25
Secondary: 57M05