The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
classification
🧮 math.AG
keywords
atiyahhochschildtheoremapplicationchainclassclassescochain
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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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