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Hochschild Homology and De Rham Cohomology of Stratifolds

Ewald, Christian-Oliver

German Title: Hochschild Homologie und De Rham Kohomologie von Stratifaltigkeiten

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Translation of abstract (English)

In 1998 Matthias Kreck introduced a new class of singular spaces he called Stratifolds. In this work the de Rham Cohomology and the Hochschild Homology of the algebra of smooth functions on a Stratifold will be computed and a generalization of Alain Connes result about the Hochschild Homology of smooth fuctions on a manifold will be proven.

Document type: Dissertation
Supervisor: Dr. Matthias Kreck, Prof.
Date of thesis defense: 27 August 2002
Date Deposited: 28 Aug 2002 00:00
Date: 2002
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Institut für Mathematik
DDC-classification: 510 Mathematics
Controlled Keywords: Hochschild-Homologie, DeRham-Komplex
Uncontrolled Keywords: Hochschild Homology , de Rham Cohomology , singular spaces , Stratifolds
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