Counterexamples in 4-manifold topology

被引：2
|
作者：
Kasprowski, Daniel [1 ]
Powell, Mark [2 ]
Ray, Arunima [3 ]
机构：
[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, England
[2] Univ Glasgow, Sch Math & Stat, Univ Pl, Glasgow G12 8QQ, Scotland
[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
EMS SURVEYS IN MATHEMATICAL SCIENCES | 2022年 / 9卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
4-manifolds; equivalence relations; SIMPLY-CONNECTED; 4-MANIFOLDS; SURGERY OBSTRUCTION GROUPS; STABLE-HOMOTOPY GROUPS; NONORIENTABLE; FUNDAMENTAL GROUP; GAUGE-THEORY; CLASSIFICATION; TORSION; COMPLEXES; MANIFOLDS;
D O I：
10.4171/EMSS/56
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds and how they are related to one another. We explain implications e.g. that h-cobordant manifolds are stably homeomorphic, and we provide examples illustrating the failure of other potential implications. The information is conveniently organised in a flowchart and a table.
引用
收藏
页码：193 / 249
页数：57
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