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

Mathematics

Pennsylvania State University

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
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

Keywords

Additivity formula
Euler characteristic
Reidemeister torsion

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10.1007/s10977-007-9009-y

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title = "Additivity for the parametrized topological Euler characteristic and Reidemeister torsion",

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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author = "Bernard Badzioch and Wojciech Dorabia{\l}a",

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AU - Badzioch, Bernard

AU - Dorabiała, Wojciech

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N2 - 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.

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.

KW - Additivity formula

KW - Euler characteristic

KW - Reidemeister torsion

UR - https://www.scopus.com/pages/publications/36148945277

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DO - 10.1007/s10977-007-9009-y

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AN - SCOPUS:36148945277

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VL - 38

SP - 1

EP - 22

JO - K-Theory

JF - K-Theory

IS - 1

ER -

Additivity for the parametrized topological Euler characteristic and Reidemeister torsion

Abstract

Keywords

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