# nLab symplectic connection

Contents

### Context

#### Symplectic geometry

symplectic geometry

higher symplectic geometry

# Contents

## Definition

An affine connection $\nabla$ on a symplectic manifold $(X,\omega)$ is a symplectic connection if the symplectic form is covariantly constant with respect to the connection, $\nabla \omega = 0$.

## Applications

### In deformation quantization

The second order term in the formal deformation quantization (see there) of a symplectic manifold is closely related to symplectic connections.

## References

Created on May 11, 2013 at 00:05:35. See the history of this page for a list of all contributions to it.