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

2012/03/25 by Charles L. Epstein, Epstein, Charles L.
Mathematics · #19K56 #32Q60 #32V15 #32V30 #35H20 #35J56 #53D35 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #Symplectic Geometry (math.SG) #math.AP #math.CV #math.SG #msc:19K56 #msc:32Q60 #msc:32V15 #msc:32V30 #msc:35H20 #msc:35J56 #msc:53D35

paper · pdf · doi:10.48550/arxiv.1203.5456

5 pages

arxiv created 2012/03/25 · openalex publication_date 2012/03/25 · arxiv updated 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 C∞-topology.

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