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Displaying similar documents to “Algebraic independence of the values of generalized Mahler functions”

Lefschetz coincidence formula on non-orientable manifolds

Daciberg Gonçalves, Jerzy Jezierski (1997)

Fundamenta Mathematicae

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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.

The universal functorial Lefschetz invariant

Wolfgang Lück (1999)

Fundamenta Mathematicae

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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.