Mathematics – Geometric Topology
Scientific paper
1998-08-28
Mathematics
Geometric Topology
49 pages, 26 figures. To appear in Inventiones Mathematicae. Revised version, incorporating referee's comments. Most changes a
Scientific paper
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifold yield a 3-manifold which is irreducible, atoroidal and not Seifert fibred, and which has infinite, word hyperbolic fundamental group. We establish an extension of the Thurston-Gromov $2\pi$ theorem by showing that if each filling slope has length more than six, then the resulting 3-manifold has all the above properties. We also give a combinatorial version of the $2\pi$ theorem which relates to angled ideal triangulations. We apply these techniques by studying surgery along alternating links.
No associations
LandOfFree
Word hyperbolic Dehn surgery 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 Word hyperbolic Dehn surgery, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Word hyperbolic Dehn surgery will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-349424