libcats.org
Главная

Traces of Differential Forms and Hochschild Homology

Обложка книги Traces of Differential Forms and Hochschild Homology

Traces of Differential Forms and Hochschild Homology

This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms.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

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

Clinical Neurology

Автор: , Автор: , Автор:
Размер книги: 3.74 Mb

Corporate Citizenship, Contractarianism and Ethical Theory

Автор: , Автор: , Автор: , Автор: , Автор: , Автор: , Автор:
Размер книги: 3.45 Mb