Items related to Lectures on Cyclic Homology: Published for the Tata...

Lectures on Cyclic Homology: Published for the Tata Institute of Fundamental Research (Tata Institute Lectures on Mathematics and Physics S.) - Softcover

Husemoller, Dale

 
9783540546672: Lectures on Cyclic Homology: Published for the Tata Institute of Fundamental Research (Tata Institute Lectures on Mathematics and Physics S.)

Synopsis

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.

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