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The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem

Nikita Markarian
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Abstract

We develop a formalism involving Atiyah classes of sheaves on a smooth manifold, Hochschild chain and cochain complexes. As an application we prove a version of the Riemann--Roch theorem.

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Nikita Markarian. 2008-09-22. The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem. https://doi.org/10.1112/jlms%2Fjdn064

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