A01=American Mathematical Society
Author_American Mathematical Society
Category=PBPD
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Product details
- ISBN 9780821831700
- Weight: 907g
- Publication Date: 30 Dec 2002
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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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 in algebraic topology and $K$-theory.
