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 compact hyperbolic 3-manifold of minimum volume, as well as enumerating the ten smallest one-cusped hyperbolic 3-manifolds.
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Peter Milley (2009) studied this question.
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