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Hofer’s symplectic energy and lagrangian intersections in contact geometry

Hofer’s symplectic energy and lagrangian intersections in contact geometry

There is a version of Lagrangian intersection theory in contact geometry [2]. But it works well only with very restrictive contact manifolds. For example, it does not work well with overtwisted contact 3-manifolds. Here we show the following. If we have an estimate on Hamiltonian functions of contact flow, then …