The Universal Functorial Lefschetz Invariant, by Wolfgang Lueck

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.

Wolfgang Lueck <>