Heegaard splittings of exteriors of two bridge knots

Kobayashi, Tsuyoshi¹

¹ Department of Mathematics, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630-8506, Japan

Geometry & topology, Tome 5 (2001) no. 2, pp. 609-650.

Résumé

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.

Détail

DOI : 10.2140/gt.2001.5.609

Keywords: two bridge knot, Heegaard splitting

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