L-infinity maps and twistings

Details L-infinity maps and twistings L-infinity maps and twistings

2009-12-07

arxiv.org/abs/0912.1215v2

Mathematics

Algebraic Topology

16 pages, to appear in Homology, Homotopy and Applications. This version contains many corrections of technical nature and min

Scientific paper

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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