String Topology and Cyclic Homology

Erscheinungsjahr 2006
ISBN: 978-3-7643-2182-6
Verlag: Springer

Buch, Englisch, 163 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 285 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 text presents material for a broader audience that was formerly available only to advanced specialists. In addition to presenting thorough exposition and practical models, the book offers as extensive references for further study.

Zielgruppe

Graduate

Autoren/Hrsg.

Cohen, Ralph L.

Hess, Kathryn

Voronov, Alexander A.

Fachgebiete

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

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.