带边界 3-流形的单纯体积
几何拓扑
2015-06-12 v3 代数拓扑
微分几何
摘要
我们根据紧致 -流形边界的单纯体积，为其单纯体积提供了尖锐的下界。作为应用，我们计算了几类 -流形的单纯体积，包括柄体 (handlebodies) 以及曲面与区间的乘积。我们的结果首次精确计算了边界具有正单纯体积的紧致流形的单纯体积。我们还计算了曲面与区间乘积的（松散）三角剖分中四面体的最小数量。
引用
@article{arxiv.1208.0545,
title = {The simplicial volume of 3-manifolds with boundary},
author = {M. Bucher and R. Frigerio and C. Pagliantini},
journal= {arXiv preprint arXiv:1208.0545},
year = {2015}
}
备注
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