String Topology and Cyclic Homology

Ralph L. Cohen, Kathryn Hess, Alexander A. Voronov9783764321826, 3-7643-2182-2, 3764373881

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 algebraic models for computing topological cyclic homology and starts with the study of free loop spaces.