The Library
Positively oriented ideal triangulations on hyperbolic three-manifolds
Tools
UNSPECIFIED (2004) Positively oriented ideal triangulations on hyperbolic three-manifolds. TOPOLOGY, 43 (6). pp. 1345-1371. doi:10.1016/j.top.2004.02.002 ISSN 0040-9383.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
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 | ||||
Official Date: | November 2004 | ||||
Dates: |
|
||||
Volume: | 43 | ||||
Number: | 6 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 1345-1371 | ||||
DOI: | 10.1016/j.top.2004.02.002 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |