تقرير
The simplicial volume of 3-manifolds with boundary
| العنوان: | The simplicial volume of 3-manifolds with boundary |
|---|---|
| المؤلفون: | Bucher, M., Frigerio, R., Pagliantini, C. |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Algebraic Topology, Mathematics - Differential Geometry, 53C23, 57N10 (Primary) 57M50, 57N65 (Secondary) |
| الوصف: | 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. Comment: 24 pages, 5 figures. Section 6 has been removed, and will appear in a separate paper by the same authors. This version has been accepted for publication by the Journal of Topology |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/jtopol/jtv001 |
| URL الوصول: | http://arxiv.org/abs/1208.0545 |
| رقم الأكسشن: | edsarx.1208.0545 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/jtopol/jtv001 |
|---|