Vol. 267, No. 1, 2014

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Distance of bridge surfaces for links with essential meridional spheres

Yeonhee Jang

Vol. 267 (2014), No. 1, 121–130
Abstract

Bachman and Schleimer gave an upper bound for the distance of a bridge surface of a knot in a 3-manifold which admits an essential surface in the exterior. Here we give a sharper upper bound for the distance of a bridge surface of a link when the manifold admits an essential meridional sphere in the exterior.

Keywords
bridge surfaces for links, distance of bridge surfaces
Mathematical Subject Classification 2010
Primary: 57M25
Milestones
Received: 4 July 2012
Revised: 30 May 2013
Accepted: 5 August 2013
Published: 22 December 2013
Authors
Yeonhee Jang
Department of Mathematics
Nara Women’s University
Kitauoya Nishimachi
Nara 630-8526
Japan