Hyperbolic convex cores and simplicial volume
Storm, Peter A.
Duke Math. J., Tome 136 (2007) no. 1, p. 281-319 / Harvested from Project Euclid
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This article investigates the relationship between the topology of hyperbolizable $3$ -manifolds $M$ with incompressible boundary and the volume of hyperbolic convex cores homotopy equivalent to $M$ . 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 $DM$ , and this inequality is sharp. This article proves that the inequality is, in fact, sharp in every pleating variety of AH $(M)$
Publié le : 2007-11-01
Classification:  53C25,  57N10 
@article{1192715421,
     author = {Storm, Peter A.},
     title = {Hyperbolic convex cores and simplicial volume},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 281-319},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1192715421}
}

Storm, Peter A. Hyperbolic convex cores and simplicial volume. Duke Math. J., Tome 136 (2007) no. 1, pp.  281-319. http://gdmltest.u-ga.fr/item/1192715421/