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Derived Algebraic Geometry IV: Deformation Theory

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arxiv 0709.3091 v2 pith:JXYVEWAO submitted 2007-09-19 math.AT math.CT

Derived Algebraic Geometry IV: Deformation Theory

Jacob Lurie This is my paper
classification math.AT math.CT
keywords deformationtheoryalgebraicderivede-infinityfoundationalgeometryprove
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In this paper, we prove some foundational results on the deformation theory of E-infinity ring spectra.

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  1. Noncommutative Cartier Formulae

    math.AT 2026-07 conditional novelty 8.0

    A noncommutative Cartier formula for E1-ring spectra is proven and applied to show that p-curvature of the quantum connection computes quantum Steenrod operations for Calabi-Yau symplectic manifolds.