A Pirashvili-type theorem for functors on non-empty finite sets

DOI10.1017/S0017089522000039zbMath1505.18016arXiv2009.10966OpenAlexW3088583837WikidataQ113857982 ScholiaQ113857982MaRDI QIDQ5056647

Christine Vespa, Geoffrey M. L. Powell

Publication date: 8 December 2022

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10966

zbMATH Keywords

Koszul complex\(\mathbf{FI}^{\mathrm{op}}\) cohomologycategory of finite sets and surjectionscomonad on Gamma-modules

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Functor categories, comma categories (18A25) Other (co)homology theories (category-theoretic aspects) (18G90)

Related Items (2)

Cohomology of configuration spaces of surfaces as mapping class group representations ⋮ A Pirashvili-type theorem for functors on non-empty finite sets

Cites Work

• Unnamed Item
• A long exact sequence for homology of FI-modules
• Dold-Kan type theorem for \(\Gamma\)-groups
• Homology of FI-modules
• Lectures on Polytopes
• Hodge decomposition for higher order Hochschild homology
• Extensions between functors from free groups
• A Pirashvili-type theorem for functors on non-empty finite sets
• Hochschild-Pirashvili homology on suspensions and representations of Out(F_n)
• Categories and Sheaves

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