Mom technology and volumes of hyperbolic 3-manifolds

David Gabai; Robert Meyerhoff; Peter Milley

doi:10.4171/CMH/221

Mom technology and volumes of hyperbolic 3-manifolds

David Gabai, Robert Meyerhoff, Peter Milley

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

This paper introduces Mom technology to understand low volume hyperbolic 3-manifolds; it is used in [GMM3] and [M1] to show that theWeeks manifold is the unique closed orientable hyperbolic 3-manifold of least volume. Here we enumerate the hyperbolic Mom-n manifolds for n ≤ 3, offer a conjectural enumeration when n = 4, and establish important technical results about embedding hyperbolic Mom-n manifolds into hyperbolic 3-manifolds.

Original language	English (US)
Pages (from-to)	145-188
Number of pages	44
Journal	Commentarii Mathematici Helvetici
Volume	86
Issue number	1
DOIs	https://doi.org/10.4171/CMH/221
State	Published - 2011

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Hyperbolic 3-manifolds
Mom technology
Volume

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10.4171/CMH/221

Cite this

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Mom technology and volumes of hyperbolic 3-manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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