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- W1531433393 abstract "The theorem of Chekhanov asserts that a Lagrangian submanifold L has positive displacement energy under natural assumptions on the symplectic topology at infinity. It is greater than or equal to the minimal area of holomorphic disks bounded by L. This estimate was obtained by Y.V. Chekhanov in 1998. Section 1 presents a direct proof based on the use of holomorphic curves and their Hamiltonian perturbations. In section 2, we define a filtered version of the Lagrangian Floer homology, without any assumption on L. This is compared with the Morse homology groups, via the continuation maps (subsubsection 2.3.2) or the PSS maps (subsection 3.2)." @default.
- W1531433393 created "2016-06-24" @default.
- W1531433393 creator A5048590090 @default.
- W1531433393 date "2009-11-30" @default.
- W1531433393 modified "2023-09-28" @default.
- W1531433393 title "A survey on the Theorem of Chekhanov" @default.
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