Differential Lie modules over curved colored coalgebras and \(\infty\)-simplicial modules

DOI10.1134/S0001434614110091zbMath1332.55010MaRDI QIDQ2343914

Yanyan Li

Publication date: 11 May 2015

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

zbMATH Keywords

simplicial modulecurved colored coalgebradifferential Lie module

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (8)

Homotopic invariance of dihedral homologies for 𝐴_{∞}-algebras with involution ⋮ Homotopy properties of \(\infty\)-simplicial coalgebras and homotopy unital supplemented \(A_\infty\)-algebras. ⋮ Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings ⋮ Chain realization of differential modules with \(\infty\)-simplicial faces and the \(B\)-construction over \(A_\infty\)-algebras ⋮ Cyclic modules with \(\infty\)-simplicial faces and the cyclic homology of \(A_\infty\)-algebras ⋮ Cyclic homology of cyclic \(\infty\)-simplicial modules ⋮ Homotopy invariance of the cyclic homology of \(A_{\infty}\)-algebras under homotopy equivalences of \(A_{\infty}\)-algebras ⋮ Dihedral \(\infty\)-simplicial modules and dihedral homology of involutive homotopy unital \(A_{\infty}\)-algebras

Cites Work

• Unnamed Item
• Perturbation theory in differential homological algebra. II
• Nonhomogeneous quadratic duality and curvature
• \(A_\infty\)-simplicial objects and \(A_\infty\)-topological groups
• Homotopy properties of differential Lie modules over curved coalgebras and Koszul duality
• Lie algebras over operads and their applications in homotopy theory
• HOMOLOGY OFB-CONSTRUCTIONS AND CO-B-CONSTRUCTIONS
• Algebraic Operads

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