An estimate of Hempel distance for bridge spheres

Ayako Ido

doi:10.4134/BKMS.2015.52.3.735

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Bull. Korean Math. Soc. 2015; 52(3): 735-740

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.735

An estimate of Hempel distance for bridge spheres

Ayako Ido

Aichi University of Education

Abstract

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Abstract

Tomova \cite{T} gave an upper bound for the distance of a bridge surface for a knot with two different bridge positions in a 3-manifold. In this paper, we show that the result of Tomova \cite[Theorem 10.3]{T} can be improved in the case when there are two different bridge spheres for a link in $S^3$.

Keywords: Heegaard splitting, bridge decomposition, distance

MSC numbers: 57M27