RECOGNIZING PRODUCTS OF SURFACES AND SIMPLY CONNECTED 4-MANIFOLDS

被引：0

作者：

Hambleton, Ian ^{[1
]}

Kreck, Matthias ^{[2
]}

机构：

[1] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada

[2] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for a closed smooth 6-manifold N to be diffeomorphic to a product of a surface F and a simply connected 4-manifold M in terms of basic invariants like the fundamental group and cohomological data. Any isometry of the intersection form of M is realized by a self-diffeomorphism of M x F.

引用

页码：2253 / 2262

页数：10

共 15 条

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