Abstract
This article investigates the relationship between the topology of hyperbolizable -manifolds with incompressible boundary and the volume of hyperbolic convex cores homotopy equivalent to . Specifically, it proves a conjecture of Bonahon stating that the volume of a convex core is at least half the simplicial volume of the doubled manifold , and this inequality is sharp. This article proves that the inequality is, in fact, sharp in every pleating variety of AH
Citation
Peter A. Storm. "Hyperbolic convex cores and simplicial volume." Duke Math. J. 140 (2) 281 - 319, 1 November 2007. https://doi.org/10.1215/S0012-7094-07-14023-7
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