Deformation theory and lie algebra homology II

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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 associated to a problem. In part II, we construct dg Lie algebroids corresponding to several moduli problems as higher direct images of appropriate sheaves of Lie algebras. The connection morphisms of part I corresponding to these dg Lie algebroids solve the problem.

Original languageEnglish
Pages (from-to)291-316
Number of pages26
JournalAlgebra Colloquium
Issue number3
StatePublished - 1997


  • Dg lie algebroids
  • Formal moduli
  • Homotopy lie algebras

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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