The simplicial volume of 3-manifolds with boundary
METADATA ONLY
Loading...
Author / Producer
Date
2015-06
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We provide sharp lower bounds for the simplicial volume of compact -manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3-manifolds, including handlebodies and products of surfaces with the interval. Our results provide the first exact computation of the simplicial volume of a compact manifold whose boundary has positive simplicial volume. We also compute the minimal number of tetrahedra in a (loose) triangulation of the product of a surface with the interval.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
8 (2)
Pages / Article No.
457 - 475
Publisher
Wiley