Small exotic 4-manifolds with b2+=3

被引：8
作者：
Stipsicz, Andras I.
Szabo, Zoltan
机构：
[1] Hungarian Acad Sci, Renyi Inst Math, H-1053 Budapest, Hungary
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2006年 / 38卷
基金：
美国国家科学基金会; 匈牙利科学研究基金会;
关键词：
D O I：
10.1112/S0024609306018406
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct an infinite family of simply connected, pairwise nondiffeomorphic 4-manifolds, all homeomorphic to 3CP(2)#9 (CP2) over bar. Similar ideas provide examples of 4-manifolds with b(2)(+) = 3, b(2)(-) = 8: vanishing first homology and nontrivial Seiberg-Witten invariants.
引用
收藏
页码：501 / 506
页数：6
相关论文
共 50 条
[31]   Null-homologous exotic surfaces in 4-manifolds [J].
Hoffman, Neil R. ;
Sunukjian, Nathan S. .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2020, 20 (05) :2677-2685
[32]   Reverse engineering small 4-manifolds [J].
Fintushel, Ronald ;
Park, B. Doug ;
Stern, Ronald J. .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 :2103-2116
[33]   ON IMBEDDING 3-MANIFOLDS INTO 4-MANIFOLDS [J].
SHIOMI, T .
OSAKA JOURNAL OF MATHEMATICS, 1991, 28 (03) :649-661
[34]   Exotic group actions on simply connected smooth 4-manifolds [J].
Fintushel, Ronald ;
Stern, Ronald J. ;
Sunukjian, Nathan .
JOURNAL OF TOPOLOGY, 2009, 2 (04) :769-778
[35]   EXOTIC SMOOTH 4-MANIFOLDS AND GERBES AS GEOMETRY FOR QUANTUM GRAVITY [J].
Krol, Jerzy .
ACTA PHYSICA POLONICA B, 2009, 40 (11) :3079-3085
[36]   SOME EXOTIC ACTIONS OF FINITE GROUPS ON SMOOTH 4-MANIFOLDS [J].
Sung, Chanyoung .
OSAKA JOURNAL OF MATHEMATICS, 2016, 53 (04) :1055-1061
[37]   From zero surgeries to candidates for exotic definite 4-manifolds [J].
Manolescu, Ciprian ;
Piccirillo, Lisa .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 108 (05) :2001-2036
[38]   Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds [J].
Chu, Michelle ;
Reid, Alan W. .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2021, 21 (05) :2627-2647
[39]   Notes on symplectic 4-manifolds with b(2)(+)=1 .2. [J].
Ohta, H ;
Ono, K .
INTERNATIONAL JOURNAL OF MATHEMATICS, 1996, 7 (06) :755-770
[40]   Small volume closed hyperbolic 4-manifolds [J].
Long, C. .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 :913-916
12345