nLab Deformation Theory

This entry is about the article

• Jacob Lurie, Deformation theory (arXiv:0709.3091)

on the notions of deformation theory – such as Kähler differentials and cotangent complexes – generalized from the ordinary context of algebra to that of higher algebra. In particular it studies the case where ordinary commutative rings are refined to by $E_\infty$-rings. See also at E-∞ geometry.

Much of this has meanwhile be absorbed in section 8.3 of

• Jacob Lurie, Higher Algebra

Keywords

• deformation theory

  • derivation

  • Kähler differential

• tangent (∞,1)-category

  • cotangent complex

…

category: reference