Thin position and essential planar surfaces

Details Thin position and essential planar surfaces Thin position and essential planar surfaces

2006-10-27

arxiv.org/abs/math/0610866v1

Proc. Amer. Math. Soc. 132 (2004), 3417--3421

Mathematics

Geometric Topology

Scientific paper

Abby Thompson proved that if a link $K$ is in thin position but not in bridge position then the knot complement contains an essential meridional planar surface, and she asked whether some thin level surface must be essential. This note is to give a positive answer to this question, showing that the if a link is in thin position but not bridge position then a thinnest level surface is essential. A theorem of Rieck and Sedgwick follows as a consequence, which says that thin position of a connected sum of small knots comes in the obvious way.

Affiliated with

Also associated with

No associations

Rating

Thin position and essential planar surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thin position and essential planar surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thin position and essential planar surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-448381