Deformation theory and Lie algebra homology
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A description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a homology group of a certain dg Lie algebra canonically (up to an essentially unique quasi-isomorphism) associated with a problem.
amslatex (Replacement of the previous version. Minor corrections are made)
amslatex (Replacement of the previous version. Minor corrections are made)