String Topology and Cyclic Homology (inbunden)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
163
Utgivningsdatum
2006-01-01
Upplaga
2006 ed.
Förlag
Birkhauser Verlag AG
Medarbetare
Hess, Kathryn
Illustratör/Fotograf
29 illustrations
Illustrationer
VII, 163 p.
Dimensioner
240 x 171 x 12 mm
Vikt
504 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783764321826

String Topology and Cyclic Homology

Advanced Courses in Mathematics - CRM Barcelona

Häftad,  Engelska, 2006-01-01
321
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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.
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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)

Innehållsförteckning

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.