The product theorem for parametrized topological Reidemeister torsion
Wojtek Dorabiala
Mark W. Johnson
Primary: 19D10; Secondary: 18F25, 19Exx, 55R70
Department of Mathematics
Penn State Altoona
Altoona, PA 16601-3760
wud2@psu.edu
mwj3@psu.edu
The goal of this article is to prove the product formula
for parametrized topological Reidemeister torsion.
The theorem states that the product of the parametrized Euler
characteristic of
one fibration with the parametrized Reidemeister torsion class of another
fibration yields the parametrized Reidemeister torsion class of the
product fibration. In the process of establishing the theorem,
several new products must be defined involving (derivative theories
of) parametrized $\Aof$-theory and a detailed
description of the coassembly map for parametrized $\Aof$-theory is included.