An elliptic complex is a concept in the field of mathematics, specifically within the areas of partial differential equations and the theory of elliptic operators. It relates to elliptic differential operators and the mathematical structures associated with them. ### Key Concepts: 1. **Elliptic Operators**: These are a class of differential operators that satisfy a certain condition (the ellipticity condition), which ensures the well-posedness of boundary value problems. An operator is elliptic if its principal symbol is invertible.
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