On the structure of pseudo-holomorphic discs with totally real boundary conditions

DOI10.1007/BF02921725zbMath0931.53023MaRDI QIDQ1272842

Yong-Geun Oh

Publication date: 20 February 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

transversalityFredholm theoryBlaschke productalmost complex manifoldstotally real submanifolds\(J\)-holomorphic discspseudo-holomorphic discsmultiplicity functionFloer's pseudo-holomorphic trajectories for Lagrangian intersectionslocal structure of boundary pointsnormalized disctotally real boundary condition

Mathematics Subject Classification ID

Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Pseudoholomorphic curves (32Q65)

Related Items (8)

An open string analogue of Viterbo functoriality ⋮ Hofer's metric on the space of Lagrangian submanifolds and wrapped Floer homology ⋮ An introduction to knot Floer homology ⋮ Quivers, Floer cohomology, and braid group actions ⋮ Quilted Floer cohomology ⋮ Nilpotent slices, Hilbert schemes, and the Jones polynomial ⋮ Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space ⋮ Graded lagrangian submanifolds

Cites Work

• Examples of symplectic structures
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Pseudo holomorphic curves in symplectic manifolds
• Analytic discs with rectifiable simple closed curves as ends
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• Singularities of \(J\)-holomorphic curves in almost complex 4-manifolds
• Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti numbers
• Pseudo-holomorphic maps and bubble trees
• Bounded extensions. The case of discs in polydiscs
• Transversality in elliptic Morse theory for the symplectic action
• Fredholm theory of holomorphic discs under the perturbation of boundary conditions
• REGULARITY OF THE BOUNDARIES OF ANALYTIC SETS
• The unregularized gradient flow of the symplectic action
• Removal of boundary singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions
• Quelques propriétés des plongements Lagrangiens
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
• The Maslov Class of the Lagrange Surfaces and Gromov's Pseudo-Holomorphic Curves

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