EXOTIC SMOOTH STRUCTURES ON CONNECTED SUMS OF S2xS2

被引:0
|
作者
Akhmedov, Anar [1 ]
Park, B. Doug [2 ]
Sakalli, Suemeyra [3 ]
机构
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
[3] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA
来源
QUARTERLY JOURNAL OF MATHEMATICS | 2023年 / 74卷 / 02期
基金
加拿大自然科学与工程研究理事会;
关键词
SYMPLECTIC; 4-MANIFOLDS; LAGRANGIAN TORI; GEOGRAPHY;
D O I
10.1093/qmath/haad002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct infinitely many distinct irreducible smooth structures on n(S(2)xS(2)), the connected sum of n copies of S(2)xS(2), for every odd integer n >= 27.
引用
收藏
页码:799 / 809
页数:11
相关论文
共 50 条
  • [1] Lagrangian spheres in S2xS2
    Hind, R
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2004, 14 (02) : 303 - 318
  • [2] Minimal Lagrangian surfaces in S2xS2
    Castro, Ildefonso
    Urbano, Francisco
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2007, 15 (02) : 217 - 248
  • [3] REPRESENTING HOMOLOGY CLASSES OF S2XS2
    KUGA, K
    TOPOLOGY, 1984, 23 (02) : 133 - 137
  • [4] Quotients of S2xS2$S∧2\times {S∧2}$
    Hambleton, Ian
    Hillman, Jonathan A.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 108 (04): : 1393 - 1416
  • [5] A WILLMORE TYPE PROBLEM FOR S2XS2
    KOBAYASHI, O
    LECTURE NOTES IN MATHEMATICS, 1987, 1255 : 67 - 72
  • [6] IMMERSED SPHERES IN CP2 AND S2XS2
    SUCIU, AI
    MATHEMATISCHE ZEITSCHRIFT, 1987, 196 (01) : 51 - 57
  • [7] Hypersurfaces of S2xS2 with constant sectional curvature
    Li, Haizhong
    Vrancken, Luc
    Wang, Xianfeng
    Yao, Zeke
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (07)
  • [8] The topology of the space of symplectic balls in S2xS2
    Anjos, Silvia
    Lalonde, Francois
    COMPTES RENDUS MATHEMATIQUE, 2007, 345 (11) : 639 - 642
  • [9] Toric Degeneration and Nondisplaceable Lagrangian Tori in S2xS2
    Fukaya, Kenji
    Oh, Yong-Geun
    Ohta, Hiroshi
    Ono, Kaoru
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (13) : 2942 - 2993
  • [10] 2-KNOTS IN S2XS2, AND HOMOLOGY 4-SPHERES
    SATO, Y
    OSAKA JOURNAL OF MATHEMATICS, 1991, 28 (02) : 243 - 253