The coisotropic embedding theorem for pre-symplectic manifolds: an alternative proof

Puntos clave

• To provide an alternative proof of the Coisotropic Embedding Theorem using an algebraic perspective.
• Recast the geometric choice of a connection as an algebraic embedding into the cotangent bundle.
• Identify the symplectic thickening as a submanifold.
• Analyze the Hamiltonian momenta related to the kernel directions of the pre-symplectic form.
• An alternative perspective on the theorem showcases the interplay between geometry and algebra.
• The identification of the symplectic thickening offers new insights into manifold structures.