Derived Algebraic Geometry IV: Deformation Theory

Abstract

In this paper, we prove some foundational results on the deformation theory of E-infinity ring spectra.

74 pages. Revised: 5/4/09. Some material rewritten to apply to more general operads, some material on the Goodwillie calculus has been removed (and given its own paper)

References in corpus (6)

• Higher Topos Theory
• Algebras and modules in monoidal model categories
• Derived Algebraic Geometry III: Commutative Algebra
• Segal topoi and stacks over Segal categories
• Weak complicial sets, a simplicial weak omega-category theory. Part I: basic homotopy theory
• Weak complicial sets, a simplicial weak omega-category theory. Part II: nerves of complicial Gray-categories

Cited by in corpus (9)

• Presenting higher stacks as simplicial schemes
• Derived Algebraic Geometry III: Commutative Algebra
• Derived Algebraic Geometry V: Structured Spaces
• Stable Infinity Categories
• A May-type spectral sequence for higher topological Hochschild homology
• Overconvergent global analytic geometry
• Equivariant localization and completion in cyclic homology and derived loop spaces
• Derived varieties of complexes and Kostant's theorem for gl(m|n)
• Proper Orbifold Cohomology