AMS/IP Studies in Advanced Mathematics 2002; 370 pp; hardcover Volume: 31 ISBN10: 0821831704 ISBN13: 9780821831700 List Price: US$96 Member Price: US$76.80 Order Code: AMSIP/31
 The book is devoted to the theory of topological higher FranzReidemeister torsion in \(K\)theory. The author defines the higher FranzReidemeister torsion based on Volodin's \(K\)theory and Borel's regulator map. He describes its properties and generalizations and studies the relation between the higher FranzReidemeister torsion and other torsions used in \(K\)theory: Whitehead torsion and RaySinger torsion. He also presents methods of computing higher FranzReidemeister torsion, illustrates them with numerous examples, and describes various applications of higher FranzReidemeister torsion, particularly for the study of homology of mapping class groups. Packed with uptodate information, the book provides a unique research and reference tool for specialists working in algebraic topology and \(K\)theory. Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA. Readership Researchers and advanced graduate students in algebraic topology, \(K\)theory, and their applications. Table of Contents  Cocycles in Volodin \(K\)theory
 Spaces of matrices and higher FranzReidemeister torsion
 A model for the Whitehead spaces
 Morse theory and filtered chain complexes
 Homotopy type of the Whitehead space
 The framing principle and Bökstedt's theorem
 Proof of complexified Bökstedt theorem
 Framed graphs
 Bibliography
 Index
