Maurer-Cartan elements and homotopical perturbation theory
K-Theory and Homology
2018-02-20 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1802.06736,
title = {Maurer-Cartan elements and homotopical perturbation theory},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:1802.06736},
year = {2018}
}