# 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.

- Daniel S. Freed; Karen K. Uhlenbeck (1995).