Mom technology and hyperbolic 3-manifolds
Geometric Topology
2009-10-28 v1
Abstract
This is an expository paper on Mom-technology, describing the recent work of the authors in this area (found in arXiv:math/0606072, arXiv:0705.4325, and arXiv:0809.0346) concerning the use of Mom-technology to find the minimum-volume compact hyperbolic 3-manifold and the 10 smallest cusped hyperbolic 3-manifolds. In addition we provide a survey of a selection of results on volumes of hyperbolic 3-manifolds, and a discussion of outstanding open problems in this area.
Keywords
Cite
@article{arxiv.0910.5043,
title = {Mom technology and hyperbolic 3-manifolds},
author = {David Gabai and Robert Meyerhoff and Peter Milley},
journal= {arXiv preprint arXiv:0910.5043},
year = {2009}
}
Comments
27 pages, 8 figures; to appear in the Proceedings of the 2008 Ahlfors-Bers Colloquium (AMS Contemporary Mathematics series)