# nLab holomorphic symplectic manifold

Contents

complex geometry

### Examples

#### Symplectic geometry

symplectic geometry

higher symplectic geometry

# Contents

## Idea

A holomorphic symplectic manifold is a complex manifold equipped with a holomorphic symplectic form.

## References

Survey:

### Rozansky-Witten theory

That Rozansky-Witten invariants, originally conceived only for hyperkähler manifolds, are more generally defined for holomorphic symplectic manifolds is due to