On embedding of 4-manifolds

被引：0
|
作者：
Ghanwat, Abhijeet [1 ]
Saha, Kuldeep [2 ]
机构：
[1] Chennai Math Inst, Chennai, Tamil Nadu, India
[2] TCG CREST, Kolkata, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 02期
关键词：
4-Manifold; Embedding;
D O I：
10.1007/s13226-021-00111-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss embedding of 4-manifolds in Euclidean spaces of dimension <= 8. We give an elementary proof of the fact that every 4-manifold admits a topological embedding in R-8. As an application of our method of proof, we also deduce some embedding results for compact 4-manifolds with nonempty boundary.
引用
收藏
页码：479 / 483
页数：5
相关论文
共 50 条
  • [1] On embedding of 4-manifolds
    Abhijeet Ghanwat
    Kuldeep Saha
    [J]. Indian Journal of Pure and Applied Mathematics, 2022, 53 : 479 - 483
  • [2] Embedding surfaces in 4-manifolds
    Kasprowski, Daniel
    Powell, Mark
    Ray, Arunima
    Teichner, Peter
    [J]. GEOMETRY & TOPOLOGY, 2024, 28 (05)
  • [3] Embedding 3-manifolds in spin 4-manifolds
    Aceto, Paolo
    Golla, Marco
    Larson, Kyle
    [J]. JOURNAL OF TOPOLOGY, 2017, 10 (02) : 301 - 323
  • [4] Embedding 4-manifolds with vanishing second homology
    Cavicchioli, A
    Hegenbarth, F
    Spaggiari, F
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2002, 123 (02) : 313 - 322
  • [5] ON EMBEDDING 4-MANIFOLDS IN R7
    HIRSCH, MW
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 61 : 657 - &
  • [6] Embedding 3-manifolds and smooth structures of 4-manifolds
    Fang, FQ
    [J]. TOPOLOGY AND ITS APPLICATIONS, 1997, 76 (03) : 249 - 259
  • [7] EMBEDDING 4-MANIFOLDS IN S-5
    COCHRAN, T
    [J]. TOPOLOGY, 1984, 23 (03) : 257 - 269
  • [8] ON NORMAL EULER NUMBERS OF EMBEDDING SURFACES INTO 4-MANIFOLDS
    高红铸
    [J]. Journal of Systems Science & Complexity, 1990, (02) : 166 - 171
  • [9] EMBEDDING 2-SPHERES TOPOLOGICALLY IN SMOOTH 4-MANIFOLDS
    SILVER, DS
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 1983, 9 (01): : 119 - 124
  • [10] Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
    Cote, Laurent
    Rizell, Georgios Dimitroglou
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (08) : 6347 - 6401
12345