Betti numbers and injectivity radii

Details Betti numbers and injectivity radii Betti numbers and injectivity radii

2009-01-30

arxiv.org/abs/0902.0014v1

Mathematics

Geometric Topology

4 pages

Scientific paper

We give lower bounds on the maximal injectivity radius for a closed orientable hyperbolic 3-manifold M with first Betti number 2, under some additional topological hypotheses. A corollary of the main result is that if M has first Betti number 2 and contains no fibroid surface then its maximal injectivity radius exceeds 0.32798. For comparison, Andrew Przeworski showed, with no topological restrictions, that the maximal injectivity radius exceeds arcsinh(1/4) = 0.247..., while the authors showed that if M has first Betti number at least 3 then the maximal injectivity exceeds log(3)/2 = 0.549.... The proof combines a result due to Przeworski with techniques developed by the authors in the 1990s.

Affiliated with

Also associated with

No associations

Rating

Betti numbers and injectivity radii 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 Betti numbers and injectivity radii, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Betti numbers and injectivity radii will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663047