Minimal Euler characteristics of 4-manifolds with 3-manifold groups

被引：0
|
作者：
Hongbin Sun
Zhongzi Wang
机构：
[1] Rutgers University - New Brunswick,Department of Mathematics
[2] Tsinghua University,Department of Mathematical Sciences
[3] Peking University,Current address: School of Mathematical Sciences
来源：
Science China Mathematics | 2023年 / 66卷
关键词：
3-manifolds; 4-manifolds; fundamental group; Euler characteristic; 57N65; 57M05; 57K40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let π = π1(M) for a compact 3-manifold M, and χ4, p and q* be the invariants of Hausmann and Weinberger (1985), Kotschick (1994) and Hillman (2002), respectively. For a certain class of compact 3-manifolds M, including all those not containing two-sided RP2’s, we determine χ4(π). We address when p(π) equals χ4(π) and when q*(π) equals χ4(π), and answer a question raised by Hillman (2002).
引用
收藏
页码：2325 / 2336
页数：11
相关论文
共 50 条
12345