Parallelizability of Homogeneous Spaces, II.
Parallelizability of Homogeneous Spaces, II (Erratum).
Profinite spaces and problems of realizability. (Espaces profinis et problèmes de réalisabilité.)
Pro-isomorphisms of homology towers.
Properties of a hypothetical exotic complex structure on
We consider almost-complex structures on whose total Chern classes differ from that of the standard (integrable) almost-complex structure. E. Thomas established the existence of many such structures. We show that if there exists an “exotic” integrable almost-complex structures, then the resulting complex manifold would have specific Hodge numbers which do not vanish. We also give a necessary condition for the nondegeneration of the Frölicher spectral sequence at the second level.