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Noncommutative vector field calculi

math.QA · 2026-07-08 · accept · novelty 6.0

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 math.QA · 2026-07-08 · accept · none · ref 8

    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.