Relative frames on J-holomorphic curves

被引：0
作者：
Laurent Lazzarini
机构：
[1] Université Pierre et Marie Curie,Institut de Mathématiques (UMR 7586), Analyse Algébrique
来源：
Journal of Fixed Point Theory and Applications | 2011年 / 9卷
关键词：
Primary 57R17; Secondary 57R95; -holomorphic singularities; simple ; -holomorphic curve; transversality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this work is to prove that any non-constant J-holomorphic disc with its boundary in a given Lagrangian submanifold can be decomposed in homology into a sum of finitely many J-holomorphic simple discs with the same Lagrangian boundary condition. As a consequence, in dimension higher than 6, any generic J-holomorphic disc is multicovered.
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页码：213 / 256
页数：43
相关论文
共 30 条
  • [1] Ahlfors L.V.(1960)Riemann’s mapping theorem for variable metrics Ann. of Math. 72 385-404
  • [2] Bers L.(2001)Loops of lagrangian submanifolds and pseudoholomorphic discs Geom. Funct. Anal. 11 609-650
  • [3] Akveld M.(2006)Cluster homology: an overview of the construction and results Electron. Res. Announc. Amer. Math. Soc. 12 12-292
  • [4] Salamon D.(1996)Transversality in elliptic Morse theory for the symplectic action Duke Math. J. 80 251-271
  • [5] Cornea O.(2008)Gromov convergence of pseudo-holomorphic disks J. Fixed Point Theory Appl. 3 215-401
  • [6] Lalonde F.(1988)Analytic discs with rectifiable simple closed curves as ends Ann. of Math. 128 380-347
  • [7] Floer A.(1985)Pseudo-holomorphic curves in symplectic manifolds Invent. Math. 82 307-476
  • [8] Hofer H.(1953)On the local behavior of solutions of non-parabolic partial differential equations Amer. J. Math. 75 449-82
  • [9] Salamon D.(2000)Structure of the images of (pseudo)-holomorphic discs with totally real boundary condition (with an appendix by Jean-Pierre Rosay) Comm. Anal. Geom. 8 31-862
  • [10] Frauenfelder U.(2000)Existence of a somewhere injective pseudo-holomorphic disc Geom. Funct. Anal. 10 829-85
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