A note on the cotangent complex in derived algebraic geometry

Abstract

This note is supposed to answer some questions on deformation theory in derived algebraic geometry. We show that derived algebraic geometry allows for a geometrical interpretation of the full cotangent complex and gives a natural setting for deformation and obstruction theories.

References in corpus (1)

• Gromov-Witten theory and Noether-Lefschetz theory

Cited by in corpus (3)

• Enumerative invariants and wall-crossing formulae in abelian categories
• Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve
• A Whirlwind Tour of the World of $(\infty ,1)$-categories