The authors develop a theory of $THH$ and $TC$ of Waldhausen categories and prove the analogues of Waldhausen's theorems for $K$-theory. They resolve the longstanding confusion about localization sequences in $THH$ and $TC$, and establish a specialized dΓ©vissage theorem. As applications, the authors
Hochschild and cyclic homology, Lectures
β Scribed by Clas LΓΆfwall
- Year
- 2012
- Tongue
- English
- Leaves
- 29
- Category
- Library
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π SIMILAR VOLUMES
Free loop spaces play a central role in both string topology and topological cyclic homology, a topological version of Connes' cyclic homology. The first part focuses on string topology and discusses the loop product from different points of view. The second part is devoted to the construction of al
<P>The subject of this book is string topology, Hochschild and cyclic homology. The first part consists of an excellent exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topol