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arXiv · 1806.03225

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.

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Johannes Huebschmann. 2018-06-08. The formal Kuranishi parametrization via the universal homological perturbation theory solution of the deformation equation. https://arxiv.org/abs/1806.03225

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