The deformation theory of sheaves of commutative rings II
Jonathan Wise
TL;DR
This paper compares different definitions of obstruction classes in the deformation theory of sheaves of commutative rings and provides sheaf theoretic proofs of properties of the cotangent complex.
Contribution
It offers a comparison between obstruction classes from different sources and presents sheaf theoretic proofs for key properties of the cotangent complex.
Findings
Obstruction classes are compared and related.
Sheaf theoretic proofs of cotangent complex properties are provided.
Clarifies the relationship between different deformation theories.
Abstract
We compare the obstruction classes defined in arXiv:1101.4069 to those defined by Illusie. We also give sheaf theoretic proofs of some of the standard properties of the cotangent complex.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons