Maurer-Cartan elements and homotopical perturbation theory

Autor:	Getzler, Ezra
Rok vydání:	2018
Předmět:	Mathematics - K-Theory and Homology Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.06736 Zobrazit plný text záznamu View this record from Arxiv