Higher Franz-Reidemeister Torsion
, by Igusa, KiyoshiNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780821831700 | 0821831704
- Cover: Hardcover
- Copyright: 9/1/2002
The book is devoted to the theory of topological higher Franz-Reidemeister torsion in $K$-theory. The author defines the higher Franz-Reidemeister 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 Franz-Reidemeister torsion and other torsions used in $K$-theory: Whitehead torsion and Ray-Singer torsion. He also presents methods of computing higher Franz-Reidemeister torsion,illustrates them with numerous examples, and describes various applications of higher Franz-Reidemeister torsion, particularly for the study of homology of mapping class groups. Packed with up-to-date information, the book provides a unique research and reference tool for specialists working inalgebraic topology and $K$-theory.