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- Title
The simplicial volume of 3-manifolds with boundary.
- Authors
Bucher, Michelle; Frigerio, Roberto; Pagliantini, Cristina
- Abstract
We provide sharp lower bounds for the simplicial volume of compact 3-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.
- Subjects
MANIFOLDS (Mathematics); BOUNDARY element methods; HANDLEBODIES; TETRAHEDRA; GEOMETRIC surfaces; INTERVAL analysis
- Publication
Journal of Topology, 2015, Vol 8, Issue 3, p457
- ISSN
1753-8416
- Publication type
Article
- DOI
10.1112/jtopol/jtv001