Additivity for parametrized topological Euler characteristic and Reidemeister torsion

Abstract

Dwyer, Weiss, and Williams have recently defined the notions of parametrized topological Euler characteristic and parametrized topological Reidemeister torsion which are invariants of bundles of compact topological manifolds. We show that these invariants satisfy additivity formulas paralleling the additive properties of the classical Euler characteristic and Reidemeister torsion of finite CW-complexes.

Minor stylistic changes; published in K-Theory

Cited by in corpus (2)

• The refined transfer, bundle structures and algebraic K-theory
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