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.
Derived Algebraic Geometry IV: Deformation Theory
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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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Noncommutative Cartier Formulae
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.