# Elliptic complex

From Diffgeom

*This article or section of article is sourced from*:Wikipedia

## Definition

### Symbol-free definition

A differential complex is said to be **elliptic** if its sequence of symbols is exact.

### Definition with symbols

Let be a differential manifold and be smooth vector bundles over . Let form a differential complex (viz . Then this differential complex is said to be elliptic if the following sequence of symbols is exact: