Buch, Englisch, Band 31, Format (B × H): 187 mm x 262 mm, Gewicht: 884 g
Buch, Englisch, Band 31, Format (B × H): 187 mm x 262 mm, Gewicht: 884 g
Reihe: AMS/IP Studies in Advanced Mathematics
ISBN: 978-0-8218-3170-0
Verlag: American Mathematical Society
This work 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.
This work 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 should provide a useful research and reference tool for specialists working in algebraic topology and $K$-theory.
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 Bokstedt's theorem. Proof of complexified Bokstedt theorem. Framed graphs. Bibliography. Index
