Geometry & Topology, Vol. 5 (2001) Paper no. 20, pages 609--650.

Heegaard splittings of exteriors of two bridge knots

Tsuyoshi Kobayashi

Abstract. In this paper, we show that, for each non-trivial two bridge knot K and for each g > 2, every genus g Heegaard splitting of the exterior E(K) of K is reducible.

Keywords. Two bridge knot, Heegaard splitting

AMS subject classification. Primary: 57M25. Secondary: 57M05.

DOI: 10.2140/gt.2001.5.609

E-print: arXiv:math.GT/0101148

Submitted to GT on 23 February 2001. Paper accepted 5 June 2001. Paper published 27 June 2001.

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Tsuyoshi Kobayashi
Department of Mathematics, Nara Women's University
Kita-Uoya Nishimachi, Nara 630-8506, JAPAN
Email: tsuyoshi@cc.nara-wu.ac.jp

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