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Title

The universal functorial Lefschetz invariant

Authors 1

Affiliations

  1. Fachbereich Mathematik und Informatik, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149 Münster, Germany

Abstract

We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and L2-torsion of mapping tori. We examine its behaviour under fibrations.

Keywords

ENG
universal functorial Lefschetz invariants, Grothendieck group of endomorphisms of modules, transfer maps

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Fundamenta Mathematicae
1999/161/1-2
Export to PBN, Opens in new tab
Pages:
167-215
Main language of publication
English
Received
1997-10-16
Accepted
1998-09-18
Published
1999
Exact and natural sciences