## Duke Mathematical Journal

### Hyperbolic convex cores and simplicial volume

Peter A. Storm

#### Abstract

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$(M)$

#### Article information

Source
Duke Math. J., Volume 140, Number 2 (2007), 281-319.

Dates
First available in Project Euclid: 18 October 2007

https://projecteuclid.org/euclid.dmj/1192715421

Digital Object Identifier
doi:10.1215/S0012-7094-07-14023-7

Mathematical Reviews number (MathSciNet)
MR2359821

#### Citation

Storm, Peter A. Hyperbolic convex cores and simplicial volume. Duke Math. J. 140 (2007), no. 2, 281--319. doi:10.1215/S0012-7094-07-14023-7. https://projecteuclid.org/euclid.dmj/1192715421

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