Circle bundles over 4-manifolds

被引:18
|
作者
Duan, HB [1 ]
Liang, C
机构
[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
[2] Peking Univ, Dept Math, Beijing 100871, Peoples R China
关键词
D O I
10.1007/s00013-005-1214-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Every1-connected topological 4-manifold M admits a S-1-covering by S-2 x S-3, where r = rankH(2)(M;Z).
引用
收藏
页码:278 / 282
页数:5
相关论文
共 50 条
  • [31] On embedding of 4-manifolds
    Ghanwat, Abhijeet
    Saha, Kuldeep
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (02): : 479 - 483
  • [32] Surfaces in 4-manifolds
    Fintushel, R
    Stern, RJ
    MATHEMATICAL RESEARCH LETTERS, 1997, 4 (06) : 907 - 914
  • [33] SEMIHANDLES AND 4-MANIFOLDS
    WEBSTER, DE
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1974, 23 (12) : 1199 - 1202
  • [34] MULTISECTIONS OF 4-MANIFOLDS
    Islambouli, Gabriel
    Naylor, Patrick
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 377 (02) : 1033 - 1068
  • [35] ISOTOPY OF 4-MANIFOLDS
    QUINN, F
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1986, 24 (03) : 343 - 372
  • [36] SMOOTHING 4-MANIFOLDS
    LASHOF, R
    INVENTIONES MATHEMATICAE, 1971, 14 (03) : 197 - &
  • [37] Trisecting 4-manifolds
    Gay, David T.
    Kirby, Robion
    GEOMETRY & TOPOLOGY, 2016, 20 (06) : 3097 - 3132
  • [38] Stabilization of 4-manifolds
    Cho, YongSeung
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (09) : 1835 - 1840
  • [39] Trisections of 4-manifolds
    Kirby, Robion
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (43) : 10853 - 10856
  • [40] On embedding of 4-manifolds
    Abhijeet Ghanwat
    Kuldeep Saha
    Indian Journal of Pure and Applied Mathematics, 2022, 53 : 479 - 483