String Topology and Cyclic Homology

• Notes on String Topology.- Intersection theory in loop spaces.- The cacti operad.- Field theoretic properties of string topology.- A Morse theoretic viewpoint.- Brane topology.- An Algebraic Model for Mod 2 Topological Cyclic Homology.- Preliminaries.- Free loop spaces.- Homotopy orbit spaces.- A model for mod 2 topological cyclic homology.

From the reviews:“This book gives an introduction to some exciting recent developments in the topology of free loop spaces. It should be a good starting point for a more detailed study of the rapidly developing literature on this subject, and given the pace of these advances, this maybe the best that could be hoped for.” (Janko Latschev, Bulletin of the American Mathematical Society, Vol. 47 (4), October, 2010)