Minimal Seifert manifolds for higher ribbon knots

Details Minimal Seifert manifolds for higher ribbon knots Minimal Seifert manifolds for higher ribbon knots

1998-10-23

arxiv.org/abs/math/9810185v1

Geom. Topol. Monogr. 1 (1998), 261-293

Mathematics

Geometric Topology

33 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper12.abs.html

Scientific paper

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.

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