ENGLISH

Traces of Differential Forms and Hochschild Homology

By Reinhold Hubl

Book information

Publisher
Springer
Year
1989
ISBN
9780387509853, 0-387-50985-2
LCC
QA3,QA381
Open Library ID
OL21343058M
Language
english
Format
DJVU
Filesize
663 kB (678875 bytes)
Series
Lecture Notes in Mathematics
Pages
118\118
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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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