Generalised Swan modules and the D(2) problem.

Edwards, Tim

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Completed representation ring spectra of nilpotent groups.

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The universal functorial Lefschetz invariant

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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.

Arithmetic and geometry of the curve y³+1=x⁴

Matthew J. Klassen, Edward F. Schaefer (1996)

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Lefschetz coincidence formula on non-orientable manifolds

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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.

Normal subspaces in products of two ordinals

Nobuyuki Kemoto, Tsugunori Nogura, Kerry Smith, Yukinobu Yajima (1996)

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Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of ${(λ + 1)}^{2}$ .

A stationary phase formula for exponential sums over $ℤ / p^{m} ℤ$ and applications to GL(3)-Kloosterman sums

Romuald Dąbrowski, Benji Fisher (1997)

Acta Arithmetica

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