Reducible smooth structures on 4-manifolds with zero signature

被引：2

作者：

Akhmedov, Anar ^{[1
]}

Ishida, Masashi ^{[2
]}

Park, B. Doug ^{[3
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[3] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF TOPOLOGY | 2014年 / 7卷 / 03期

基金：

加拿大自然科学与工程研究理事会; 日本学术振兴会;

关键词：

SEIBERG-WITTEN INVARIANTS; GEOGRAPHY; MANIFOLDS; CURVATURE;

D O I：

10.1112/jtopol/jtt043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every large enough integer k that is not divisible by 4, we construct infinite families of mutually non-diffeomorphic reducible smooth structures on the topological 4-manifolds 2k(S-2 x S-2) and 2k(CP2 #(CP) over bar (2)), the connected sums of 2k copies of S-2 x S-2 and CP2 #(CP) over bar (2).

引用

页码：607 / 616

页数：10

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