$ D_\infty$-differential $ A_\infty$-algebras and spectral sequences
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Publication:4807102
DOI10.1070/SM2002v193n01ABEH000623zbMath1026.55023MaRDI QIDQ4807102
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Publication date: 14 July 2003
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Steenrod algebra (55S10) Adams spectral sequences (55T15) Chain complexes (category-theoretic aspects), dg categories (18G35) Loop space machines and operads in algebraic topology (55P48)
Related Items (9)
\(D_{\infty }\)-differential \(E_{\infty }\)-algebras and spectral sequences of \(D_{\infty }\)-differential modules ⋮ Filtered 𝐴-infinity structures in complex geometry ⋮ Spectral sequences associated to deformations ⋮ Chain realization of differential modules with \(\infty\)-simplicial faces and the \(B\)-construction over \(A_\infty\)-algebras ⋮ Multiplicative \(A_\infty\)-structure in terms of spectral sequences of fibrations ⋮ Derived \(A\)-infinity algebras and their homotopies ⋮ \(D_{\infty}\)-differential \(E_{\infty}\)-algebras and Steenrod operations in spectral sequences ⋮ 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
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