Homotopic invariance of dihedral homologies for 𝐴_{∞}-algebras with involution

DOI10.1090/spmj/1736OpenAlexW4307891385MaRDI QIDQ5047967

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Publication date: 17 November 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1736

zbMATH Keywords

dihedral homology, \(A_{\infty }\)-algebra, involution

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Other (co)homology theories (category-theoretic aspects) (18G90)

Cites Work

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• Homology of certain matrix Lie superalgebras
• Cyclic modules with \(\infty\)-simplicial faces and the cyclic homology of \(A_\infty\)-algebras
• Cyclic homology of cyclic \(\infty\)-simplicial modules
• Differential Lie modules over curved colored coalgebras and \(\infty\)-simplicial modules
• Homotopy simplicial faces and the homology of realizations of simplicial topological spaces
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• RATIONAL HERMITIAN K-THEORY AND DIHEDRAL HOMOLOGY
• Differential perturbations and $ D_\infty$-differential modules
• Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings
• Homotopy Associativity of H-Spaces. I

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