Symplectic Geometry

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2 domain-specific abstractions whose origin domain is Symplectic Geometry.

• Kirwan map — Restrict equivariant cohomology classes of a Hamiltonian group space to a regular moment-map level set and identify them with ordinary cohomology classes on the resulting symplectic quotient.
• Symplectization — The canonical construction that associates a symplectic manifold to a contact manifold by adjoining a nonzero scale coordinate to its contact covectors.