A locally minimal, but not globally minimal bridge position of a knot

Details A locally minimal, but not globally minimal bridge position of a knot A locally minimal, but not globally minimal bridge position of a knot

2012-03-06

arxiv.org/abs/1203.1119v2

Mathematics

Geometric Topology

27 pages, 12 figures, v2: minor corrections throughout the paper

Scientific paper

We present a locally minimal, but not globally minimal bridge position of a
knot, that is, an unstabilized, nonminimal bridge position of a knot. It
implies that a bridge position cannot always be simplified so that the bridge
number monotonically decreases to the minimal.

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