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Titlebook: Algebraic Operads; Jean-Louis Loday,Bruno Vallette Book 2012 Springer-Verlag Berlin Heidelberg 2012 18D50, 17AXX, 18G50, 55P48, 57T30.Kosz

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Twisting Morphisms,lgebra ., which satisfies the Maurer–Cartan equation: . The set of twisting morphisms Tw(.,.) is shown to be representable both in . and in .: . Then we investigate the twisting morphisms which give rise to quasi-isomorphisms under the aforementioned identifications. We call them ..
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https://doi.org/10.1007/978-3-658-40724-7lgebra ., which satisfies the Maurer–Cartan equation: . The set of twisting morphisms Tw(.,.) is shown to be representable both in . and in .: . Then we investigate the twisting morphisms which give rise to quasi-isomorphisms under the aforementioned identifications. We call them ..
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C. Czerkinsky,J.-B. Sun,J. Holmgren (co)operad, Koszul complex and Koszul resolution. This last one provides us with the minimal model of the operad ., thereby defining the notion of .-algebra up to homotopy. In the last section, we extend this method to inhomogeneous quadratic operads.
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