Additivity for parametrized topological Euler characteristic and Reidemeister torsion

Details Additivity for parametrized topological Euler characteristic and Reidemeister torsion Additivity for parametrized topological Euler characteristic and Reidemeister torsion

2005-06-13

arxiv.org/abs/math/0506258v2

K-Theory 38 No. 1 (2007) 1-22

Mathematics

Algebraic Topology

Minor stylistic changes; published in K-Theory

Scientific paper

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.

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