Displaying similar documents to “Duality and distribution cohomology of C R manifolds”

Obstructions to generic embeddings

Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich (2002)

Annales de l’institut Fourier

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Let F be a relatively closed subset of a Stein manifold. We prove that the ∂ ¯ -cohomology groups of Whitney forms on F and of currents supported on F are either zero or infinite dimensional. This yields obstructions of the existence of a generic C R embedding of a CR manifold M into any open subset of any Stein manifold, namely by the nonvanishing but finite dimensionality of some intermediate ∂ ¯ M -cohomology groups.

A geometric description of differential cohomology

Ulrich Bunke, Matthias Kreck, Thomas Schick (2010)

Annales mathématiques Blaise Pascal

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In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular...