The module structure of Hochschild homology in some examples

DOI10.1016/j.crma.2008.05.017zbMath1148.14024OpenAlexW2005609418MaRDI QIDQ943641

Paolo Stellari, Emanuele Macrì, Marc A. Nieper-Wisskirchen

Publication date: 10 September 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.05.017

zbMATH Keywords

Calabi-Yau manifoldderived categoryHochschild-Kostant-Rosenberg isomorphismtangent sheafHochschild cohomologyand homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Vector bundles on curves and their moduli (14H60)

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Cites Work

• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• The relative Riemann-Roch theorem from Hochschild homology
• Hochschild cohomology and Atiyah classes
• On the Rozansky-Witten weight systems
• Deformation quantization of Poisson manifolds
• Remarks on derived equivalences of Ricci-flat manifolds
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• The Continuous Hochschild Cochain Complex of a Scheme