Higher Franz-Reidemeister Torsion
Book Details
Format
Hardback or Cased Book
Book Series
AMS/IP Studies in Advanced Mathematics
ISBN-10
0821831704
ISBN-13
9780821831700
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 30th, 2002
Weight
884 grams
Dimensions
18.70 x 26.10 x 2.60 cms
Product Classification:
Algebraic topology
Ksh 16,750.00
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Devoted to the theory of topological higher Franz-Reidemeister torsion in $K$-theory, this book defines the higher Franz-Reidemeister torsion based on Volodin's $K$-theory and Borel's regulator map. It studies the relation between the higher Franz-Reidemeister torsion and other torsions used in $K$-theory: Whitehead torsion and Ray-Singer torsion.
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.
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