For some sufficiently large even N, the cotangent bundle of S⁹×Sᴺ⁻¹ contains a closed exact smoothly embedded Lagrangian diffeomorphic to the base that is not Hamiltonian isotopic to the zero section.
For some sufficiently large even N, the cotangent bundle of S⁹×Sᴺ⁻¹ contains a closed exact smoothly embedded Lagrangian diffeomorphic to the base that is not Hamiltonian isotopic to the zero section.
For some sufficiently large even N, the cotangent bundle of S⁹×Sᴺ⁻¹ contains a closed exact smoothly embedded Lagrangian diffeomorphic to the base that is not Hamiltonian isotopic to the zero section.
If correct, disproves the unrestricted nearby Lagrangian conjecture even when the Lagrangian is diffeomorphic to the base.
Must every closed exact Lagrangian in a cotangent bundle be Hamiltonian isotopic to the zero section?
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