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Let $ A$ be a perfect $ \kappa$ -algebra over a perfect field $ \kappa$ of positive characteristic $ p$ . Then the algebraic (= classical) cotangent complex $ L_{A/\kappa}^{\operatorname{alg}}$ is known to vanish, due to the Frobenious automorphism having simultaneously to induce on the cotangent complex an automorphism and multiplication by $ p$ .Read more

In Hamiltonian dynamics and symplectic geometry a twisted cotangent bundle is the cotangent space $ T^*N$ of a closed (compact without boundary) $ n$ -manifold $ N$ equipped with a twisted symplectic structure: $ T^*N$ carries the canonical symplectic structure $ \omega=d\lambda$ , where $ \lambda$ is the Liouville 1-form. One can “twist” $ \omega$Read more