L-infinity maps and twistings
Algebraic Topology
2012-05-29 v3 Algebraic Geometry
Quantum Algebra
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.
Cite
@article{arxiv.0912.1215,
title = {L-infinity maps and twistings},
author = {Joseph Chuang and Andrey Lazarev},
journal= {arXiv preprint arXiv:0912.1215},
year = {2012}
}
Comments
16 pages, to appear in Homology, Homotopy and Applications. This version contains many corrections of technical nature and minor improvements