Symplectic geometryLecture 81. The Darboux-Weinstein theorems.2. Some group theory.The homotopy formula.Darboux-Weinstein version 1: compact manifolds.Darboux-Weinstein version 2: compact manifolds.Darboux-Weinstein version 3: compact submanifolds.Normal neighborhoods.Darboux-Weinstein version 4: compact submanifolds.Darboux’s theorem.so.To prove:An important special case of the isotropic embedding theorem.Some language from group theory.When more structure is present.G - equivariant maps.Another word for a G - equivariant map is a G- morphism.Orbits, isotropy subgroups, topological groups.Averaging over the group.Symplectic group
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