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Higher Franz-Reidemeister Torsion
 
Kiyoshi Igusa Brandeis University, Waltham, MA
A co-publication of the AMS and International Press of Boston
Higher Franz-Reidemeister Torsion
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
Higher Franz-Reidemeister Torsion
Click above image for expanded view
Higher Franz-Reidemeister Torsion
Kiyoshi Igusa Brandeis University, Waltham, MA
A co-publication of the AMS and International Press of Boston
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
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 312002; 370 pp
    MSC: 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.

    Readership

    Researchers and advanced graduate students in algebraic topology, \(K\)-theory, and their applications.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 312002; 370 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.