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alg-geomMay 1, 1994
32
citations (OpenAlex)
authors
  • Vladimir Hinich
  • Vadim Schechtman
arXiv abstractPDF
paper

Deformation theory and Lie algebra homology

arXiv: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.

amslatex (Replacement of the previous version. Minor corrections are made)

Cited by in corpus (14)

  • Deformation quantization of Poisson manifolds, I
  • Lie-Rinehart algebras, descent, and quantization
  • Semicosimplicial DGLAs in deformation theory
  • An algebraic proof of Bogomolov-Tian-Todorov theorem
  • Descent of Deligne groupoids
  • Formal moduli problems and formal derived stacks
  • Multiplicative McKay correspondence in the symplectic case
  • On global deformation quantization in the algebraic case
  • Deformations of compact holomorphic Poisson manifolds and algebraic Poisson schemes
  • Deformation quantization of gerbes
  • General GLSM Invariants and Their Cohomological Field Theories
  • DG coalgebras as formal stacks
  • A∞​-structures associated with pairs of 1-spherical objects and noncommutative orders over curves
  • Jacobi complexes on the Ran space
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