Additivity for the parametrized topological Euler characteristic and Reidemeister torsion

Bernard Badzioch; Wojciech Dorabiała

doi:10.1007/s10977-007-9009-y

Additivity for the parametrized topological Euler characteristic and Reidemeister torsion

Bernard Badzioch, Wojciech Dorabiała

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Dwyer, Weiss, and Williams have recently defined the notions of the parametrized topological Euler characteristic and the 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 the Reidemeister torsion of CW-complexes.

Original language	English (US)
Pages (from-to)	1-22
Number of pages	22
Journal	K-Theory
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s10977-007-9009-y
State	Published - Nov 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "Dwyer, Weiss, and Williams have recently defined the notions of the parametrized topological Euler characteristic and the 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 the Reidemeister torsion of CW-complexes.",

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AB - Dwyer, Weiss, and Williams have recently defined the notions of the parametrized topological Euler characteristic and the 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 the Reidemeister torsion of CW-complexes.

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Additivity for the parametrized topological Euler characteristic and Reidemeister torsion

Abstract

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