Higher Franz-Reidemeister Torsion (AMS/ IP Studies in Advanced Mathematics) N 31

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.

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