Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti numbers

DOI10.1007/BF02096945zbMath0806.58020OpenAlexW1989803208MaRDI QIDQ1201415

François Lalonde

Publication date: 17 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096945

zbMATH Keywords

Betti numberMaslov classsymplectic invariantsLagrange submanifoldtubular radius

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (2)

Fredholm theory of holomorphic discs under the perturbation of boundary conditions ⋮ On the structure of pseudo-holomorphic discs with totally real boundary conditions

Cites Work

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• Examples of symplectic structures
• Pseudo holomorphic curves in symplectic manifolds
• Symplectic topology and Hamiltonian dynamics
• Gromov's compactness of pseudo-holomorphic curves and symplectic geometry
• Symplectic displacement energy for Lagrangian submanifolds
• The unregularized gradient flow of the symplectic action
• An Infinite Dimensional Version of Sard's Theorem
• The Maslov Class of the Lagrange Surfaces and Gromov's Pseudo-Holomorphic Curves

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