Minimum volume hyperbolic 3-manifolds
Copyright policy )Minimum volume hyperbolic 3-manifolds
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.
14 pages; updated and added references, provided a stronger argument regarding Vol3 in section 3, incorporated many helpful comments from Craig Hodgson regarding wording and terminology; corrected references
- University of California, Riverside United States
- University of Melbourne Australia
volume inequalities, Mathematics - Geometric Topology, hyperbolic 3-manifolds, General geometric structures on low-dimensional manifolds, FOS: Mathematics, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, 57M50
volume inequalities, Mathematics - Geometric Topology, hyperbolic 3-manifolds, General geometric structures on low-dimensional manifolds, FOS: Mathematics, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, 57M50
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