DIFFERENTIABLE STRUCTURES ON PUNCTURED 4-MANIFOLDS

被引：17
|
作者：
FURUTA, M [1 ]
OHTA, H [1 ]
机构：
[1] UNIV TOKYO,COLL ARTS & SCI,DEPT MATH,MEGURO KU,TOKYO 153,JAPAN
来源：
TOPOLOGY AND ITS APPLICATIONS | 1993年 / 51卷 / 03期
关键词：
DIFFERENTIABLE STRUCTURE; 4-MANIFOLD; CASSON INVARIANT; ROCHLIN INVARIANT;
D O I：
10.1016/0166-8641(93)90083-P
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give a sufficient condition for a punctured topological 4-manifold to have uncountably many differentiable structures. We also formulate a conjecture about a generalization of Casson's invariant and Rochlin's invariant, which would imply existence of uncountably many differentiable structures on a punctured topological 4-manifold with nontrivial Kirby-Siebenmann obstruction.
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页码：291 / 301
页数：11
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