Symplectic geometry
branch of differential geometry and differential topology
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.
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Quotes
edit- Symplectic geometry originates with Hamilton's formulation of optical laws.
- Daniel S. Freed; Karen K. Uhlenbeck (1995). Geometry and Quantum Field Theory. American Mathematical Society. p. 1. ISBN 978-0-8218-8683-0.