First order vector field calculi are shown to be categorically adjoint to first order differential calculi, with bicovariant versions in bijection with quantum tangent spaces and a sheaf-theoretic Atiyah sequence on quantum principal bundles.
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Noncommutative vector field calculi
First order vector field calculi are shown to be categorically adjoint to first order differential calculi, with bicovariant versions in bijection with quantum tangent spaces and a sheaf-theoretic Atiyah sequence on quantum principal bundles.