Computing the homology of Koszul complexes

DOI10.1090/S0002-9947-01-02723-4zbMath0980.13009arXivmath/9809175OpenAlexW2104450410MaRDI QIDQ2716132

Bernhard Köck

Publication date: 6 June 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809175

zbMATH Keywords

Dold-Kan correspondenceAdams-Riemann-Roch theoremprojective resolutionplethysm problemAdams-Riemann-Roch formulacomputing the homology of Koszul complexescross effect functorsymmetric power operation

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Relations of (K)-theory with cohomology theories (19E20) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Free group rings and derived functors ⋮ Dimension quotients, Fox subgroups and limits of functors ⋮ Derived functors of nonadditive functors and homotopy theory ⋮ Homotopy patterns in group theory ⋮ The subgroup determined by a certain ideal in a free group ring. ⋮ Generalized dimension subgroups and derived functors ⋮ Narain Gupta's three normal subgroup problem and group homology ⋮ Cyclic Adams operations ⋮ Two formulae for exterior power operations on higher \(K\)-groups ⋮ A higher limit approach to homology theories ⋮ Limits over categories of extensions. ⋮ A Local Refinement of the Adams–Riemann–Roch Theorem in Degree One ⋮ Exterior power operations on higher \(K\)-groups via binary complexes

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