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arXiv · 0912.1215

L-infinity maps and twistings

Joseph Chuang·Andrey Lazarev
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Abstract

We give a construction of an L-infinity map from any L-infinity algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A-infinity 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-infinity-algebras. Application to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L-infinity and A-infinity algebras and associated twistings which should be of independent interest.

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BibTeXRIS

Joseph Chuang, Andrey Lazarev. 2012-05-27. L-infinity maps and twistings. https://arxiv.org/abs/0912.1215

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