Traces of Differential Forms and Hochschild Homology (häftad)

Fler böcker inom

Algebraisk geometri

Format: Häftad (Paperback / softback)
Språk: Engelska
Antal sidor: 118
Utgivningsdatum: 1989-03-01
Upplaga: 1989 ed.
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Illustrationer: VI, 118 p.
Dimensioner: 234 x 156 x 7 mm
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Antal komponenter: 1
Komponenter: 1 Paperback / softback
ISBN: 9783540509851

Traces of Differential Forms and Hochschild Homology

Name: Traces of Differential Forms and Hochschild Homology
Price: 296.00 SEK
Availability: InStock
Author: Reinhold Hbl
ISBN: 9783540509851

av Reinhold Hbl

Häftad, Engelska, 1989-03-01

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This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. Many results for Hochschild-homology of commutative algebras also hold for Hochschild-homology of topological algebras. In particular, after introducing an appropriate notion of completion of differential algebras, one gets a natural transformation between differential forms and Hochschild-homology of topological algebras. Traces of differential forms are of interest to everyone working with duality theory and residue symbols. Hochschild-homology is a useful tool in many areas of k-theory. The treatment is fairly elementary and requires only little knowledge in commutative algebra and algebraic geometry.

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The Hochschild homology and the Hochschild cohomology of a topological algebra.- Differential forms and Hochschild homology.- Traces in Hochschild homology.- Traces of Differential Forms.- Traces in complete intersections.- The topological residue homomorphism.- Trace formulas for residues of differential forms.