Alternate Heegaard genus bounds distance

Details Alternate Heegaard genus bounds distance Alternate Heegaard genus bounds distance

2005-01-10

arxiv.org/abs/math/0501140v4

Geom. Topol. 10 (2006) 593-617

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 4 May 2006 (V4: typesetting correction)

Scientific paper

10.2140/gt.2006.10.593

Suppose M is a compact orientable irreducible 3-manifold with Heegaard splitting surfaces P and Q. Then either Q is isotopic to a possibly stabilized copy of P or the Hempel distance of the splitting P is no greater than twice the genus of Q. More generally, if P and Q are bicompressible but weakly incompressible connected closed separating surfaces in M then either a) P and Q can be well-separated or b) P and Q are isotopic or c) the Hempel distance of P is no greater than twice the genus of Q.

Affiliated with

Also associated with

No associations

Rating

Alternate Heegaard genus bounds distance 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 Alternate Heegaard genus bounds distance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternate Heegaard genus bounds distance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125286