nLab derived deformation theory

See also

• deformation theory
• cotangent complex

References

• Luc Illusie, Complexe cotangent et déformations I, Lec. Notes Math. 239, Springer 1971, xv+355 pp.; II, LNM 283, Springer 1972. vii+304 xv+355 pp.

• Jacob Lurie, Derived algebraic geometry, thesis, pdf.

• Jacob Lurie, Higher Algebra.

• Jacob Lurie, Deformation Theory.

• Bertrand Toen, Gabriele Vezzosi, Homotopical Algebraic Geometry II: geometric stacks and applications, arXiv.

• Vladimir Hinich, DG coalgebras as formal stacks, J. Pure Appl. Algebra 162 (2001), 209-250. arXiv.

• Marco Manetti, Extended deformation functors, Int. Math. Res. Not., (14):719–

  756, 2002. arXiv.

• J. P. Pridham, Unifying derived deformation theories, Adv. Math., 224(3):772– 826, 2010. arXiv.

• Ai Guan, Andrey Lazarev, Yunhe Sheng, and Rong Tang. Review of deformation theory II: a homotopical approach. arXiv.

• Mauro Porta, Gabriele Vezzosi, Infinitesimal and square-zero extensions of simplicial algebras, arXiv.

• Timo Schuerg, Deformation theory of commutative algebras, lecture notes by Gregor Bruns, Humboldt Universitaet zu Berlin, 2013, Deformation theory of commutative algebras.

• Dennis Gaitsgory, Lie theory from the point of view of derived algebraic geometry, Lecture notes from a mini-course, Nantes, 2014, web.

• Mauro Porta, Derived formal moduli problems, master thesis, pdf.