Subelliptic SpinC Dirac Operators, IV Proof of the Relative Index Conjecture

Publication date: 24 March 2012

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 Cinfty-topology.

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) CR manifolds as boundaries of domains (32V15) Embeddings of CR manifolds (32V30) Almost complex manifolds (32Q60) Index theory (19K56) Subelliptic equations (35H20) Boundary value problems for first-order elliptic systems (35J56)

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