String Topology and Cyclic Homology

Advanced Courses in Mathematics - CRM Barcelona
2006
ISBN: 978-3-7643-2182-6
Verlag: Springer

Buch, Englisch, 163 Seiten, Format (B × H): 170 mm x 241 mm, Gewicht: 505 g

Reihe: Advanced Courses in Mathematics - CRM Barcelona

This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant 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 topological cyclic homology.

Zielgruppe

Graduate

Autoren/Hrsg.

Cohen, Ralph L.

Hess, Kathryn

Voronov, Alexander A.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

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.