... > topology > algebraic topology > manifold > differentiable manifold > Lie group > symplectic group

... > geometry > topological space > manifold > differentiable manifold > Lie group > symplectic group

geometry > differential geometry > differentiable manifold > Lie group > symplectic group

topology > differential topology > differentiable manifold > Lie group > symplectic group

algebra > group theory > topological group > Lie group > symplectic group

geometry > differential geometry > symplectic geometry > symplectic group

geometry > algebraic geometry > algebraic variety > algebraic group > symplectic group