String Topology and Cyclic Homology

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Beschreibung

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 string topology from the elementary bases to the most recent developments, presenting material for a broader audience that was formerly available only to advanced specialists.

Klappentext

The subject of this book is string topology, Hochschild and cyclic homology. The first part consists of an excellent 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. The book provides many references for the reader wishing to learn more about the subject, to which it gives a perfect introduction. It is therefore suitable for both graduate students and established researchers. It is certainly the best source of much information that was until now available only to specialists and covers material from the elementary bases to the most recent developments. TOC:Foreword.- Notes on String Topology (R.L. Cohen and A.A. Voronov) - Introduction.- Intersection Theory in Loop Spaces - The Cacti Operad - String Topology as Field Theory - A Morse Theoretic Viewpoint - Brane Topology - Bibliography.- An Algebraic Model for Mod 2 Topological Cyclic Homology (K. Hess) - Preface - Preliminaries - Free Loop Spaces - Homotopy Orbit Spaces - A Model for Mod 2 Toplological Cyclic Homology - Bibliography.

Zusammenfassung
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)

Inhalt

Foreword.- Notes on String Topology (R.L. Cohen and A.A. Voronov) - Introduction.- Intersection Theory in Loop Spaces - The Cacti Operad - String Topology as Field Theory - A Morse Theoretic Viewpoint - Brane Topology - Bibliography.- An Algebraic Model for Mod 2 Topological Cyclic Homology (K. Hess) - Preface - Preliminaries - Free Loop Spaces - Homotopy Orbit Spaces - A Model for Mod 2 Toplological Cyclic Homology - Bibliography.

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Produktinformationen

Titel
String Topology and Cyclic Homology
Untertitel
Advanced Courses in Mathematics - CRM Barcelona
Autor
EAN
9783764321826
ISBN
978-3-7643-2182-6
Format
Kartonierter Einband
Genre
Mathematik
Anzahl Seiten
163
Gewicht
505g
Größe
H244mm x B244mm
Jahr
2006
Untertitel
Englisch
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