Addendum to: Subelliptic $\operatorname{Spin}_{\mathbb{C}}$ Dirac Operators, III


We prove the relative index conjecture, which in turn implies that the set of embeddable deformations of a strictly pseudoconvex CR-structure on a compact 3-manifold is closed in the $\mathcal{C}^{\infty}$-topology.


Charles L. Epstein

Department of Mathematics, 309 South 33rd Street, University of Pennsylvania, Philadelphia, PA 19104-6395