Geodesic
L-infinity maps and twistings
Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 175-195.

Voir la notice de l'article provenant de la source International Press of Boston

We give a construction of an $L_\infty$ map from any $L_\infty$ algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and $A_\infty$ analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of $L_\infty$ algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in $L_\infty$ and $A_\infty$ algebras and associated twistings which should be of independent interest.
DOI : 10.4310/HHA.2011.v13.n2.a12
Classification : 16E45, 18D50, 57T30, 81T18
Keywords: differential graded Lie algebra, Maurer-Cartan element, $A_\infty$ algebra, graph homology, Morita equivalence 
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     author = {Joseph Chuang and Andrey Lazarev},
     title = {L-infinity maps and twistings},
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Joseph Chuang; Andrey Lazarev. L-infinity maps and twistings. Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 175-195. doi : 10.4310/HHA.2011.v13.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n2.a12/

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