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Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group

Cohomologically Symplectic Spaces: Toral Actions and the Gottlieb Group

Aspects of symplectic geometry are explored from a homotopical viewpoint.In particular, the question of whether or not a given toral action is Hamiltonian is shown to be independent of geometry.Rather, a new homotopical obstruction is described which detects when an action is Hamiltonian.This new entity, the AA-invariant, allows many results …