Hyperbolic convex cores and simplicial volume
Hyperbolic convex cores and simplicial volume
复制标题
双曲凸核和单纯体积
DOI：
10.1215/s0012-7094-07-14023-7
复制
发表时间：
2004
影响因子：
2.5
通讯作者：
Peter A. Storm
中科院分区：
文献类型：
--
作者：
Peter A. Storm
本文研究了具有不可压缩边界的双曲可3-流形M的拓扑结构与与M等价的双曲凸核同伦体积之间的关系。具体来说，证明了Bonahon的猜想，即凸核的体积至少是双流形DM的单纯体积的一半，并且这个不等式是尖锐的。本文证明，事实上，AH(M) 的每种褶皱品种中的不平等都是尖锐的。
This paper 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 paper proves that the inequality is in fact sharp in every pleating variety of AH(M).