Abstract
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.
Addendum to: Subelliptic $\operatorname{Spin}_{\mathbb{C}}$ Dirac Operators, III
Pages 1373-1380 from Volume 176 (2012), Issue 2 by Charles L. Epstein
Keywords
Stein filling, Stipsicz conjecture, contact manifold, embeddable \hbox{{\rm CR}-structure}, index formula, relative index conjecture, strictly pseudoconvex surface MR
2950774
zbMATH
06093951
Milestones
Received: 2 March 2012Revised: 30 April 2012
Accepted: 17 June 2012
Published online: 1 September 2012
Full Article