Cohen / Hess / Voronov String Topology and Cyclic Homology

1. Auflage 2006
ISBN: 978-3-7643-7388-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 163 Seiten, Web PDF

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.

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.