Abstract
For every closed orientable hyperbolic Haken 3-manifold and, more generally, for any orientable hyperbolic 3-manifold M which is homeomorphic to the interior of a Haken manifold, the number 0.286 is a Margulis number. If H 1(M;ℚ) ≠ 0, or if M is closed and contains a semi-fiber, then 0.292 is a Margulis number for M.
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Both authors are partially supported by NSF grant DMS-0906155
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Culler, M., Shalen, P.B. Margulis numbers for Haken manifolds. Isr. J. Math. 190, 445–475 (2012). https://doi.org/10.1007/s11856-011-0189-z
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DOI: https://doi.org/10.1007/s11856-011-0189-z