 construction in terms of extension categories remain elusive in this general setting.
<h3 id="marvin-dippell">Marvin Dippell<a href="#marvin-dippell" class="floatleft sec-link">§</a></h3>
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The classical Hochschild–Kostant–Rosenberg (HKR) Theorem in Differential Geometry gives a quasi-isomorphism between the differentiable Hochschild complex of the algebra of smooth functions on a manifold and the multivector fields on it.
The HKR morphism plays an important role in deformation theory, in partic