Hochschild-Pirashvili homology on suspensions and representations of Out(F_n)

DOI10.24033/ASENS.2396zbMath1435.55005arXiv1507.08483OpenAlexW2969225854MaRDI QIDQ5206173

Thomas Willmacher, Victor Tourtchine

Publication date: 18 December 2019

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08483

zbMATH Keywords

Hodge decompositionhigher Hochschild homologycommutative Lie Koszul dualityouter automorphism group of a free groupPoincaré-Birkhoff-Witt filtration

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Automorphisms of infinite groups (20E36) Homology and cohomology theories in algebraic topology (55N99) Other homology theories in algebraic topology (55N35)

Related Items (4)

Cohomology of configuration spaces of surfaces as mapping class group representations ⋮ A Pirashvili-type theorem for functors on non-empty finite sets ⋮ Outer functors and a general operadic framework ⋮ Actions of automorphism groups of free groups on spaces of Jacobi diagrams. I

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