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Deformation theory and Lie algebra homology

Vladimir Hinich, Vadim Schechtman

alg-geomarXiv:alg-geom/9405013

Abstract

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.

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