Margulis numbers for Haken manifolds

Details Margulis numbers for Haken manifolds Margulis numbers for Haken manifolds

2010-06-17

arxiv.org/abs/1006.3467v3

Mathematics

Geometric Topology

25 pages. Some statements were clarified some typos were corrected and some of the propositions were generalized

Scientific paper

For every closed hyperbolic Haken 3-manifold and, more generally, for any
hyperbolic 3-manifold M which is homeomorphic to the interior of a Haken
manifold, the number 0.286 is a Margulis number. If M has non-zero first Betti
number, or if M is closed and contains a semi-fiber, then 0.292 is a Margulis
number for M.

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