Lagrangian tetragons and instabilities in Hamiltonian dynamics

DOI10.1088/0951-7715/30/1/13zbMath1375.37147arXiv1510.01748OpenAlexW2963295054MaRDI QIDQ2958630

Michael Entov, Leonid Polterovich

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01748

zbMATH Keywords

Poisson bracketHamiltonian systemLagrangian submanifoldsymplectic manifold

Mathematics Subject Classification ID

Related Items (10)

Legendrian persistence modules and dynamics ⋮ Symplectic rigidity and quantum mechanics ⋮ An Urysohn-type theorem under a dynamical constraint ⋮ Urysohn-type theorem under a dynamical constraint: non-compact case ⋮ Contact topology and non-equilibrium thermodynamics ⋮ Remarks on the oscillation energy of Legendrian isotopies ⋮ An Energy–Capacity inequality for Legendrian submanifolds ⋮ Lagrangian isotopies and symplectic function theory ⋮ The persistence of the Chekanov-Eliashberg algebra ⋮ Mather theory and symplectic rigidity

Cites Work

• Poisson brackets and symplectic invariants
• An inversion of the Lagrange-Dirichlet stability theorem
• Lagrangian embeddings into subcritical Stein manifolds
• Parametrized ring-spectra and the nearby Lagrangian conjecture
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
• Generic diffusion for a class of non-convex Hamiltonians with two degrees of freedom
• Holomorphic disks and the chord conjecture

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