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

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Abstract

The notion of differential Lie module over a curved coalgebra is introduced. The homotopy invariance of the structure of a differential Liemodule over a curved coalgebra is proved. A relationship between the homotopy theory of differential Lie modules over curved coalgebras and the theory of Koszul duality for quadratic-scalar algebras over commutative unital rings is determined.

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  1. Self-employed, Saransk, Russia

    S. V. Lapin

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  1. S. V. Lapin
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Correspondence to S. V. Lapin.

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Original Russian Text © S. V. Lapin, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 3, pp. 354–372.

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Lapin, S.V. Homotopy properties of differential lie modules over curved coalgebras and Koszul duality. Math Notes 94, 335–350 (2013). https://doi.org/10.1134/S0001434613090058

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  • DOI: https://doi.org/10.1134/S0001434613090058

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