
Hardcover ISBN: | 978-0-8218-3170-0 |
Product Code: | AMSIP/31 |
List Price: | $108.00 |
MAA Member Price: | $97.20 |
AMS Member Price: | $86.40 |
eBook ISBN: | 978-1-4704-3820-3 |
Product Code: | AMSIP/31.E |
List Price: | $101.00 |
MAA Member Price: | $90.90 |
AMS Member Price: | $80.80 |
Hardcover ISBN: | 978-0-8218-3170-0 |
eBook: ISBN: | 978-1-4704-3820-3 |
Product Code: | AMSIP/31.B |
List Price: | $209.00 $158.50 |
MAA Member Price: | $188.10 $142.65 |
AMS Member Price: | $167.20 $126.80 |

Hardcover ISBN: | 978-0-8218-3170-0 |
Product Code: | AMSIP/31 |
List Price: | $108.00 |
MAA Member Price: | $97.20 |
AMS Member Price: | $86.40 |
eBook ISBN: | 978-1-4704-3820-3 |
Product Code: | AMSIP/31.E |
List Price: | $101.00 |
MAA Member Price: | $90.90 |
AMS Member Price: | $80.80 |
Hardcover ISBN: | 978-0-8218-3170-0 |
eBook ISBN: | 978-1-4704-3820-3 |
Product Code: | AMSIP/31.B |
List Price: | $209.00 $158.50 |
MAA Member Price: | $188.10 $142.65 |
AMS Member Price: | $167.20 $126.80 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 31; 2002; 370 ppMSC: Primary 19; Secondary 55; 57
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.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipResearchers and advanced graduate students in algebraic topology, \(K\)-theory, and their applications.
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Table of Contents
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Chapters
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Cocycles in Volodin $K$-theory
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Spaces of matrices and higher Franz-Reidemeister torsion
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A model for the Whitehead spaces
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Morse theory and filtered chain complexes
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Homotopy type of the Whitehead space
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The framing principle and Bökstedt’s theorem
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Proof of complexified Bökstedt theorem
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Framed graphs
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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.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Researchers and advanced graduate students in algebraic topology, \(K\)-theory, and their applications.
-
Chapters
-
Cocycles in Volodin $K$-theory
-
Spaces of matrices and higher Franz-Reidemeister 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