The topology of the space of symplectic balls in S2xS2

被引:1
|
作者
Anjos, Silvia [1 ]
Lalonde, Francois [2 ]
机构
[1] Inst Super Tecn, Dept Matemat, Ctr Analise Matemat Geometria & Sistemas Dinam, P-1096 Lisbon, Portugal
[2] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/j.crma.2007.10.025
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Note we compute the full homotopy type of the space of symplectic embeddings of the standard ball B-4(c) subset of R-4 with capacity c = pi r(2) into the 4-dimensional rational symplectic manifold M mu = (S-2 x S-2, mu omega(0)circle plus omega(0) ) where mu belongs to the interval (1, 2] and c is above the critical value mu - 1.
引用
收藏
页码:639 / 642
页数:4
相关论文
共 50 条
  • [1] Infinitely many non-isotopic real symplectic forms on S2xS2
    Smirnov, Gleb
    JOURNAL OF TOPOLOGY, 2021, 14 (01) : 29 - 38
  • [2] Lagrangian spheres in S2xS2
    Hind, R
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2004, 14 (02) : 303 - 318
  • [3] Minimal Lagrangian surfaces in S2xS2
    Castro, Ildefonso
    Urbano, Francisco
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2007, 15 (02) : 217 - 248
  • [4] REPRESENTING HOMOLOGY CLASSES OF S2XS2
    KUGA, K
    TOPOLOGY, 1984, 23 (02) : 133 - 137
  • [5] 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
  • [6] A WILLMORE TYPE PROBLEM FOR S2XS2
    KOBAYASHI, O
    LECTURE NOTES IN MATHEMATICS, 1987, 1255 : 67 - 72
  • [7] IMMERSED SPHERES IN CP2 AND S2XS2
    SUCIU, AI
    MATHEMATISCHE ZEITSCHRIFT, 1987, 196 (01) : 51 - 57
  • [8] 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)
  • [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] EXOTIC SMOOTH STRUCTURES ON CONNECTED SUMS OF S2xS2
    Akhmedov, Anar
    Park, B. Doug
    Sakalli, Suemeyra
    QUARTERLY JOURNAL OF MATHEMATICS, 2023, 74 (02): : 799 - 809