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Maurer-Cartan elements and homotopical perturbation theory (1802.06736v1)
Published 19 Feb 2018 in math.KT and math.SG
Abstract: Let L be a (pro-nilpotent) curved L-infinity algebra, and let h be a homotopy between L and a subcomplex M. Using homotopical perturbation theory, Fukaya constructed from this data a curved L-infinity structure on M. We prove that projection from L to M induces a bijection between the set of Maurer-Cartan elements x of L such that hx=0 and the set of Maurer-Cartan elements of M.
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