The coisotropic embedding theorem for pre-symplectic manifolds: An alternative proof
Abstract
In this paper, we present an alternative proof of the Coisotropic Embedding Theorem in which the geometric choice of a connection is recast as the algebraic choice of an embedding into the cotangent bundle. The symplectic thickening is then identified as the submanifold determined by the Hamiltonian momenta conjugate to the kernel directions of the pre-symplectic form.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Geometry and complex manifolds
Publication details
- Journal / source
- Geometric Mechanics
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 03
- Issue
- 01
- Pages
- 35–43
- Publication date
- 12 February 2026
- Language
- EN