Conormal suspensions of differential complexes

Abstract

§1 An exact sequence for Whitney functions. §2 A generalized Mayer–Vietoris sequence. §3 Carriers and wedge decomposition. §4 Localization. §5 Wedge decomposition for CR manifolds. §6 The de Rham complex associated to a regular assignment of closed sets. §7 The long exact sequence associated to a regular assignment of closed sets. §8 Differential equivalence. §9 Local isomorphisms for the ∆–complex. §10 Tangential complexes. §11 Conormal suspensions. §12 On the mixed de Rham–Dolbeault complex. §13 Poincare lemma and holomorphic extension for the tangential Cauchy–Riemann complex. §14 Solvability wave front sets. §15 Degree q cohomology for q–pseudoconcave CR manifolds. §16 Solvability wave front sets and wedge decomposition for q–pseudoconcave CR manifolds.