4维流形与开放书不存在性
几何拓扑
2025-09-19 v1
摘要
继Kastenholz的近期工作之后，我们证明了存在无数个可平行化的闭合致密4流形， none of which admit an open book decomposition。这意味着Engel流形不存在Giroux对应关系的类比。特别是，not every Engel manifold has a supporting open book，按照Colin、Presas和Vogel的说法。
引用
@article{arxiv.2509.14299,
title = {4-manifolds and non-existence of open book},
author = {Shital Lawande and Kuldeep Saha},
journal= {arXiv preprint arXiv:2509.14299},
year = {2025}
}