Lectures on Cyclic Homology
Published for the Tata Institute of Fundamental Research
Seiten
1991
Springer Berlin (Hersteller)
978-3-540-54667-2 (ISBN)
Springer Berlin (Hersteller)
978-3-540-54667-2 (ISBN)
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This introduction to cyclic homology is divided into three parts. The first part provides background material, part two considers three definitions of cyclic homology, and the third part relates cyclic homology to differential forms and shows how the Chern character takes values in cyclic homology.
This book is a basic introduction to cyclic homology, divided into three parts. The first, chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In chapters 3, 4 and 5 three definitions of cyclic homology are considered, its variance under Morita equivalence, its relation to Lie algebra homology, and the Connes' B operator. The third part, chapters 6 and 7, relates cyclic homology to differential forms and shows how the Chern character takes values in cyclic homology. Included is the classical Hochschild-Kostant-Rosenberg theorem relating differential forms to Hochschild homology.
This book is a basic introduction to cyclic homology, divided into three parts. The first, chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In chapters 3, 4 and 5 three definitions of cyclic homology are considered, its variance under Morita equivalence, its relation to Lie algebra homology, and the Connes' B operator. The third part, chapters 6 and 7, relates cyclic homology to differential forms and shows how the Chern character takes values in cyclic homology. Included is the classical Hochschild-Kostant-Rosenberg theorem relating differential forms to Hochschild homology.
| Reihe/Serie | Tata Institute Lectures on Mathematics |
|---|---|
| Co-Autor | R. Sujatha |
| Verlagsort | Berlin |
| Sprache | englisch |
| Gewicht | 220 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 3-540-54667-7 / 3540546677 |
| ISBN-13 | 978-3-540-54667-2 / 9783540546672 |
| Zustand | Neuware |
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