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Journal of Topology Advance Access originally published online on March 12, 2009
Journal of Topology 2009 2(1):181-192; doi:10.1112/jtopol/jtp006
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© 2009 London Mathematical Society

Minimum volume hyperbolic 3-manifolds

Peter Milley

Department of Mathematics and Statistics, University of Melbourne, Melbourne, VIC 3010, Australia, P.Milley@ms.unimelb.edu.au


  Abstract

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.

Received October 21, 2008.

2000 Mathematics Subject Classification 57M50


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