Heegaard splittings of distance exactly n

Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi

doi:10.2140/agt.2014.14.1395

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Heegaard splittings of distance exactly $n$

Ayako Ido, Yeonhee Jang and Tsuyoshi Kobayashi

Algebraic & Geometric Topology 14 (2014) 1395–1411

DOI: 10.2140/agt.2014.14.1395

Abstract

In this paper, we show that, for any integers $n \geq 2$ and $g \geq 2$ , there exist genus- $g$ Heegaard splittings of compact $3$ –manifolds with distance exactly $n$ .

Keywords

Heegaard splittings, Hempel distance, distance, Heegaard splitting

Mathematical Subject Classification 2010

Primary: 57M27

Secondary: 57M99

References

Publication

Received: 19 August 2013

Revised: 6 October 2013

Accepted: 6 November 2013

Published: 7 April 2014

Authors

Ayako Ido
Department of Mathematics Nara Women’s University Kitauoya Nishimachi Nara 630-8506 Japan

Yeonhee Jang
Department of Mathematics Nara Women’s University Kitauoya Nishimachi Nara 630-8506 Japan

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

Volume 14, issue 3 (2014)