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.

引用

页码：291 / 301

页数：11

共 50 条

[1] COMPLEX STRUCTURES ON CERTAIN DIFFERENTIABLE 4-MANIFOLDS
QIN, ZB
TOPOLOGY, 1993, 32 (03) : 551 - 566
[2] A LOWER BOUND FOR THE NUMBER OF DIFFERENTIABLE STRUCTURES ON 4-MANIFOLDS
SALVETTI, M
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1991, 5A (01): : 33 - 40
[3] ON THE NUMBER OF NON-EQUIVALENT DIFFERENTIABLE STRUCTURES ON 4-MANIFOLDS
SALVETTI, M
MANUSCRIPTA MATHEMATICA, 1989, 63 (02) : 157 - 171
[4] Differentiable structures with zero entropy on simply connected 4-manifolds
Paternain, GP
BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2000, 31 (01): : 1 - 8
[5] Differentiable structures with zero entropy on simply connected 4-manifolds
Gabriel P. Paternain
Boletim da Sociedade Brasileira de Matemática, 2000, 31 : 1 - 8
[6] Differentiable classification of 4-manifolds with singular Riemannian foliations
Jianquan Ge
Marco Radeschi
Mathematische Annalen, 2015, 363 : 525 - 548
[7] SOME CLOSED 4-MANIFOLDS WITH EXOTIC DIFFERENTIABLE STRUCTURE
KRECK, M
LECTURE NOTES IN MATHEMATICS, 1984, 1051 : 246 - 262
[8] Differentiable classification of 4-manifolds with singular Riemannian foliations
Ge, Jianquan
Radeschi, Marco
MATHEMATISCHE ANNALEN, 2015, 363 (1-2) : 525 - 548
[9] Poisson Structures on Smooth 4-Manifolds
Garcia-Naranjo, Luis C.
Suarez-Serrato, Pablo
Vera, Ramon
LETTERS IN MATHEMATICAL PHYSICS, 2015, 105 (11) : 1533 - 1550
[10] Non-orientable genus of knots in punctured Spin 4-manifolds
Sato, Kouki
TOPOLOGY AND ITS APPLICATIONS, 2015, 185 : 88 - 92

← 1 2 3 4 5 →