Promoting Essential Laminations

Details Promoting Essential Laminations Promoting Essential Laminations

2002-10-10

arxiv.org/abs/math/0210148v3

Invent. Math. 166 (2006) no. 3, 583-643

Mathematics

Geometric Topology

56 pages, 11 figures; version 3: final version, incorporates referee's suggestions

Scientific paper

We show that every co--orientable taut foliation F of an orientable, atoroidal 3-manifold admits a transverse essential lamination. If this transverse lamination is a foliation G, the pair F,G are the unstable and stable foliation respectively of an Anosov flow. Otherwise, F admits a pair of transverse very full genuine laminations. In the second case, M satisfies the weak geometrization conjecture - either its fundamental group contains Z+Z or it is word-hyperbolic. Moreover, if M is atoroidal, the mapping class group of M is finite, and any automorphism homotopic to the identity is isotopic to the identity.

Affiliated with

Also associated with

No associations

Rating

Promoting Essential Laminations 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 Promoting Essential Laminations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Promoting Essential Laminations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-542722