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Статья

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

Journal of London Mathematical Society. 2009. Vol. 79. No. 79(2). P. 129-143.
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.