Homotopy properties of differential Lie modules over curved coalgebras and Koszul duality

DOI10.1134/S0001434613090058zbMath1295.55018OpenAlexW1972935440MaRDI QIDQ2436369

Yanyan Li

Publication date: 24 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434613090058

zbMATH Keywords

Koszul dualityco-B-constructiondifferential Lie modules over a curved coalgebradifferential module over a Clifford algebradifferential module over an exterior algebraquadratic-scalar algebraSDR-data for differential modules

Mathematics Subject Classification ID

Quadratic and Koszul algebras (16S37) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Related Items (6)

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

Cites Work

• Unnamed Item
• Nonhomogeneous quadratic duality and curvature
• Koszul duality for operads
• Lie algebras over operads and their applications in homotopy theory
• Differential perturbations and $ D_\infty$-differential modules
• $ D_\infty$-differential $ E_\infty$-algebras and spectral sequences of fibrations
• Koszul Resolutions

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