SCHARLEMANN 4-MANIFOLDS AND SMOOTH 2-KNOTS IN S(2)XS(2)

被引：2

作者：

SATO, Y ^{[1
]}

机构：

[1] TOKYO METROPOLITAN UNIV,DEPT MATH,HACHIOJI,TOKYO 19203,JAPAN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 04期

关键词：

SCHARLEMANN MANIFOLD; 4-MANIFOLD; KNOTS;

D O I：

10.2307/2161244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Scharlemann gave an example of a 4-manifold admitting a fake homotopy structure on S3 X S1#S2 X S2, which is homeomorphic to S3 X S1#S2 X S2 by a theorem of Freedman. We address the problem whether a Scharlemann's manifold is diffeomorphic to S3 X S1#S2 X S2 in terms of 2-knots in S2 X S2.

引用

页码：1289 / 1294

页数：6

共 50 条

[41] Constraints on families of smooth 4-manifolds from Pin-.2/-monopole
Konno, Hokuto
Nakamura, Nobohiro
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2023, 23 (01): : 419 - +
[42] Smooth invariants of 4-manifolds
Morgan, JW
LOW DIMENSIONAL TOPOLOGY, 1999, 8 : 95 - 189
[43] On 2-knots and connected sums with projective planes
Vincent Longo
Geometriae Dedicata, 2020, 207 : 23 - 27
[44] An evaluation of the crossing number on ribbon 2-knots
Yasuda, T
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2006, 15 (01) : 1 - 9
[45] ON THE GENUS OF SMOOTH 4-MANIFOLDS
CAVICCHIOLI, A
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 331 (01) : 203 - 214
[46] Embeddings of 2-spheres in 4-manifolds
Askitas, N
MANUSCRIPTA MATHEMATICA, 1996, 89 (01) : 35 - 47
[47] Symplectic 4-manifolds with b(2)(+)=1
Ohta, H
Ono, K
GEOMETRY AND PHYSICS, 1997, 184 : 237 - 244
[48] KNOTS, HOMOLOGY SPHERES, AND CONTRACTIBLE 4-MANIFOLDS
GORDON, CM
TOPOLOGY, 1975, 14 (02) : 151 - 172
[49] ON 4-MANIFOLDS FIBERED BY TORI .2.
MATSUMOTO, Y
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1983, 59 (03) : 100 - 103
[50] Symplectic 4-manifolds as branched coverings of ℂℙ2
Denis Auroux
Inventiones mathematicae, 2000, 139 : 551 - 602

← 1 2 3 4 5 →