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

• Autores: Nikita Markarian
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 79, Nº 1, 2009, págs. 129-143
• Idioma: inglés
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• Resumen

  • 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