Virtual neighborhood technique for moduli spaces of holomorphic curves

被引：0
|
作者：
An-Min Li
Li Sheng
机构：
[1] Sichuan University,College of Mathematics
来源：
Science China Mathematics | 2021年 / 64卷
关键词：
virtual neighborhood technique; holomorphic curves; Gromov-Witten invariants; exponential decay estimates; 53D35; 53D45; 57R17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the technique of Ruan (1999) and Li and Ruan (2001) to construct the virtual neighborhoods and show that the Gromov-Witten invariants can be defined as integrals over the top strata of the virtual neighborhoods. We prove that the invariants defined in this way satisfy all the axioms of Gromov-Witten invariants summarized by Kontsevich and Manin (1994).
引用
收藏
页码：1505 / 1562
页数：57
相关论文
共 50 条
  • [31] The exponential decay of gluing maps for J-holomorphic map moduli space
    Li, An-Min
    Sheng, Li
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (05) : 2327 - 2372
  • [32] Some uniqueness theorems for holomorphic curves on annulus sharing hypersurfaces
    Ha Tran Phuong
    Vilaisavanh, Leuanglith
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (01) : 22 - 34
  • [33] A NOTE ON THE SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES INTO ALGEBRAIC VARIETIES
    Liao, Hungzen
    Ru, Min
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2014, 9 (04): : 671 - 684
  • [34] On holomorphic curves in a complex Grassmann manifold G(2, n)
    Jiao, Xiaoxiang
    Yu, Yan
    ARCHIV DER MATHEMATIK, 2011, 96 (03) : 291 - 300
  • [35] On holomorphic curves in a complex Grassmann manifold G(2, n)
    Xiaoxiang Jiao
    Yan Yu
    Archiv der Mathematik, 2011, 96 : 291 - 300
  • [36] Uniqueness Theorems for Holomorphic Curves with Hypersurfaces of Fermat–Waring Type
    Ha Huy Khoai
    Vu Hoai An
    Le Quang Ninh
    Complex Analysis and Operator Theory, 2014, 8 : 1747 - 1759
  • [37] SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES WITH THE MOVING TARGETS ON ANNULI
    Chen, Jiali
    Cao, Tingbin
    MATHEMATICAL REPORTS, 2020, 22 (3-4): : 261 - 275
  • [38] Configurations of points on degenerate varieties and properness of moduli spaces
    Abramovich, Dan
    Fantechi, Barbara
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2017, 137 : 1 - 17
  • [39] A Defect Relation for Holomorphic Curves Intersecting General Divisors in Projective Varieties
    Min Ru
    The Journal of Geometric Analysis, 2016, 26 : 2751 - 2776
  • [40] Uniqueness Theorems for Holomorphic Curves with Hypersurfaces of Fermat-Waring Type
    Ha Huy Khoai
    Vu Hoai An
    Le Quang Ninh
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2014, 8 (08) : 1747 - 1759
12345