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THURSTON'S SPINNING CONSTRUCTION AND SOLUTIONS TO THE HYPERBOLIC GLUING EQUATIONS FOR CLOSED HYPERBOLIC 3-MANIFOLDS.
- Source :
-
Proceedings of the American Mathematical Society . Jan2013, Vol. 141 Issue 1, p335-350. 16p. - Publication Year :
- 2013
-
Abstract
- We show that the hyperbolic structure on a closed, orientable, hyperbolic 3-manifold can be constructed from a solution to the hyperbolic gluing equations using any triangulation with essential edges. The key ingredients in the proof are Thurston's spinning construction and a volume rigidity result attributed by Dunfield to Thurston, Gromov and Goldman. As an application, we show that this gives a new algorithm to detect hyperbolic structures and small Seifert fibred structures on closed 3-manifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 141
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 82939412