Kohn–Rossi cohomology

Summary

Kohn–Rossi cohomology is the cohomology of the tangential Cauchy–Riemann complex $\bar\partial_b$ on a CR manifold. It plays for CR manifolds the role that Dolbeault cohomology plays for complex manifolds. Its degree $0$ group is the space of smooth CR functions, and the higher groups measure the obstruction to solving the equation $\bar\partial_b u = f$.