When are two HKR isomorphisms equal?

DOI10.1016/j.aim.2023.109246arXiv2205.04439OpenAlexW4385748432MaRDI QIDQ6076335

Shengyuan Huang

Publication date: 21 September 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04439

zbMATH Keywords

HKR isomorphisms

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Sheaves in algebraic geometry (14F06)

Related Items (1)

A CATEGORICAL QUANTUM TOROIDAL ACTION ON THE HILBERT SCHEMES

Cites Work

• When is the self-intersection of a subvariety a fibration?
• Formality of derived intersections
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• The Ext algebra of a quantized cycle
• Deformation quantization of Poisson manifolds
• Hochschild cohomology of quasiprojective schemes
• Formality of derived intersections and the orbifold HKR isomorphism
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• The Hochschild–Kostant–Rosenberg Isomorphism for Quantized Analytic Cycles
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• The Continuous Hochschild Cochain Complex of a Scheme

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