Minimum-volume hyperbolic 3-manifolds

Details Minimum-volume hyperbolic 3-manifolds Minimum-volume hyperbolic 3-manifolds

2008-09-02

arxiv.org/abs/0809.0346v3

Mathematics

Geometric Topology

14 pages; updated and added references, provided a stronger argument regarding Vol3 in section 3, incorporated many helpful co

Scientific paper

10.1112/jtopol/jtp006

We enumerate the small-volume manifolds that can be obtained by Dehn filling
on Mom-2 and Mom-3 manifolds as defined by Gabai, Meyerhoff, and the author. In
so doing we complete the proof that the Weeks manifold is the minimum-volume
compact hyperbolic 3-manifold, as well as enumerating the 10 smallest
one-cusped hyperbolic 3-manifolds.

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