Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 12, pages 261-293.

Minimal Seifert manifolds for higher ribbon knots

James Howie

Abstract. We show that a group presented by a labelled oriented tree presentation in which the tree has diameter at most three is an HNN extension of a finitely presented group. From results of Silver, it then follows that the corresponding higher dimensional ribbon knots admit minimal Seifert manifolds.

Keywords. Ribbon knots, Seifert manifolds, LOT groups

AMS subject classification. Primary: 57Q45. Secondary: 20E06, 20F05, 57M05.

E-print: arXiv:math.GT/9810185

Submitted: 2 June 1997. Published: 23 October 1998.

Notes on file formats

James Howie
Department of Mathematics, Heriot-Watt University
Edinburgh EH14 4AS, Scotland
Email: J.Howie@hw.ac.uk

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.