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

页码：193 / 249

页数：57

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