Geodesic
The universal functorial Lefschetz invariant
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 167-215.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $L^2$-torsion of mapping tori. We examine its behaviour under fibrations.
DOI : 10.4064/fm-161-1-2-167-215
Mots-clés : universal functorial Lefschetz invariants, Grothendieck group of endomorphisms of modules, transfer maps

Wolfgang Lück 1

1 
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Wolfgang  Lück. The universal functorial Lefschetz invariant. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 167-215. doi : 10.4064/fm-161-1-2-167-215. http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-167-215/

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