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Positively oriented ideal triangulations on hyperbolic three-manifolds
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UNSPECIFIED. (2004) Positively oriented ideal triangulations on hyperbolic three-manifolds. TOPOLOGY, 43 (6). pp. 1345-1371. ISSN 0040-9383
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Official URL: http://dx.doi.org/10.1016/j.top.2004.02.002
Abstract
Let M-3 be a non-compact hyperbolic 3-manifold that has a triangulation by positively oriented ideal tetrahedra. We show that the gluing variety defined by the gluing consistency equations is a smooth complex manifold with dimension equal to the number of boundary components of M-3. Moreover, we show that the complex lengths of any collection of non-trivial boundary curves, one from each boundary component, give a local holomorphic parameterization of the gluing variety. As an application, some estimates for the size of hyperbolic Dehn surgery space of once-punctured torus bundles are given. (C) 2004 Elsevier Ltd. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | TOPOLOGY |
| Publisher: | PERGAMON-ELSEVIER SCIENCE LTD |
| ISSN: | 0040-9383 |
| Date: | November 2004 |
| Volume: | 43 |
| Number: | 6 |
| Number of Pages: | 27 |
| Page Range: | pp. 1345-1371 |
| Identification Number: | 10.1016/j.top.2004.02.002 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8048 |
Data sourced from Thomson Reuters' Web of Knowledge
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