通过非零度映射对瑟斯顿几何进行排序
几何拓扑
2019-09-09 v3 代数拓扑
群论
摘要
我们得到了承载非双曲瑟斯顿几何的闭无球面4-流形的一个排序。作为应用，我们推导出几何4-流形的小平维度关于非零度映射的存在性是单调的。
引用
@article{arxiv.1607.03058,
title = {Ordering Thurston's geometries by maps of non-zero degree},
author = {Christoforos Neofytidis},
journal= {arXiv preprint arXiv:1607.03058},
year = {2019}
}
备注
18 pages; v2: new section added (Section 6 on Kodaira dimension); v3: minor edits; part of this paper was formerly contained in arXiv:1507.07778; to appear in Journal of Topology and Analysis