Year: 2009
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Gabai, David, Meyerhoff, Robert, Milley, Peter
Institution: Princeton University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: Low Dimensional Topology and Hyperbolic Geometry, FRG: Collaborative Research: Understanding Low-Volume Hyperbolic 3-Manifolds, Three-dimensional geometry and topology, FRG: Collaborative Research: Understanding Low Volume Hyperbolic 3-Manifolds, Invariants of Hyperbolic 3-Manifolds and Applications, FRG: Understanding Low-Volume Hyperbolic 3-Manifolds
OpenAlex ID: W4394651095