CoHochschild homology of chain coalgebras.

DOI10.1016/j.jpaa.2008.08.001zbMath1238.16005arXiv0711.1023OpenAlexW2593566836MaRDI QIDQ1004462

Paul-Eugène Parent, Jonathan A. Scott, Kathryn P. Hess

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1023

zbMATH Keywords

chain coalgebrasco-Hochschild complexesco-Hochschild homologyhomotopy coassociative coalgebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Simplicial sets and complexes in algebraic topology (55U10) Homology and cohomology theories in algebraic topology (55N99) Coalgebras and comodules; corings (16T15)

Related Items (12)

Topological coHochschild homology and the homology of free loop spaces ⋮ Computations of relative topological coHochschild homology ⋮ Twisting structures and morphisms up to strong homotopy ⋮ The factorization theory of Thom spectra and twisted nonabelian Poincaré duality ⋮ Quantization of the Lie bialgebra of string topology ⋮ A monoidal Dold-Kan correspondence for comodules ⋮ Spanier–Whitehead duality for topological coHochschild homology ⋮ Invariance properties of coHochschild homology ⋮ The Hochschild complex of a twisting cochain ⋮ On the mapping space homotopy groups and the free loop space homology groups ⋮ Computational tools for topological coHochschild homology ⋮ Multiplicative structure in equivariant cohomology

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