Cartier isomorphism and Hodge Theory in the non-commutative case

D. Kaledin

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arxiv 0708.1574 v2 pith:LYQ52OLD submitted 2007-08-11 math.AG math.KT

Cartier isomorphism and Hodge Theory in the non-commutative case

D. Kaledin This is my paper

classification math.AG math.KT

keywords attemptcartiercaseclayelementarygoettingenhodgeintroduction

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These are lecture notes from Clay Summer School in Goettingen, in 2006; the lectures were an attempt at an elementary introduction to math.KT/0611623.

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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.