Action selectors and Maslov class rigidity

Details Action selectors and Maslov class rigidity Action selectors and Maslov class rigidity

2009-01-12

arxiv.org/abs/0901.1352v2

Mathematics

Symplectic Geometry

28 pages, v2: main theorem slightly improved, applications corrected, exposition improved

Scientific paper

In this paper we detect new restrictions on the Maslov class of displaceable Lagrangian submanifolds of symplectic manifolds which are symplectically aspherical. These restrictions are established using action selectors for Hamiltonian flows. In particular, we construct and utilize a new action selector for the flows of a special class of Hamiltonian functions which arises naturally in the study of Hamiltonian paths which minimize the Hofer length functional.

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