Mathematics – Geometric Topology
Scientific paper
1999-01-11
Mathematics
Geometric Topology
23 pages, 4 figures, Latex
Scientific paper
We give a complete proof of Thurston's celebrated hyperbolic Dehn filling theorem, following the ideal triangulation approach of Thurston and Neumann-Zagier. We avoid to assume that a genuine ideal triangulation always exists, using only a partially flat one, obtained by subdividing an Epstein-Penner decomposition. This forces us to deal with negatively oriented tetrahedra. Our analysis of the set of hyperbolic Dehn filling coefficients is elementary and self-contained. In particular, it does not assume smoothness of the complete point in the variety of deformations.
Petronio Carlo
Porti Joan
No associations
LandOfFree
Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem 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 Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-62794