Bridge Number and the Curve Complex

Details Bridge Number and the Curve Complex Bridge Number and the Curve Complex

2006-03-03

arxiv.org/abs/math/0603102v2

Mathematics

Geometric Topology

13 pages, 3 figures. References have been added and the order of exposition changed slightly

Scientific paper

We show that there are hyperbolic tunnel-number one knots with arbitrarily
high bridge number and that "most" tunnel-number one knots are not one-bridge
with respect to an unknotted torus. The proof relies on a connection between
bridge number and a certain distance in the curve complex of a genus-two
surface.

Affiliated with

Also associated with

No associations

Rating

Bridge Number and the Curve Complex 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 Bridge Number and the Curve Complex, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bridge Number and the Curve Complex will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618896