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

英文摘要：

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.