The formal Kuranishi parametrization via the universal homological perturbation theory solution of the deformation equation

Abstract

Using homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algebra over a field of characteristic zero. Our approach includes a formal version of the Kuranishi method in the theory of deformations of complex manifolds.

19 pages

References in corpus (3)

• Formal solution of the master equation via HPT and deformation theory
• Twilled Lie-Rinehart algebras and differential Batalin-Vilkovisky algebras
• Berikashvili's functor D and the deformation equation