A variant of the Mukai pairing via deformation quantization

DOI10.1007/s11005-011-0541-6zbMath1262.19005arXiv1103.5312OpenAlexW2060481656MaRDI QIDQ454343

Ajay C. Ramadoss

Publication date: 1 October 2012

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5312

zbMATH Keywords

deformation quantizationHochschild homologyRiemann-Roch theoremMukai pairing

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Deformation quantization, star products (53D55) Riemann-Roch theorems, Chern characters (19L10)

Related Items (1)

Formality and Kontsevich-Duflo type theorems for Lie pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hochschild cohomology of the Weyl algebra and traces in deformation quantization
• The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
• Derived equivalences of K3 surfaces and orientation
• Modules over deformation quantization algebroids: An overview
• The homotopy theory of dg-categories and derived Morita theory
• Some notes on the Feigin-Losev-Shoikhet integral conjecture
• The relative Riemann-Roch theorem from Hochschild homology
• Cyclic cocycles on deformation quantizations and higher index theorems
• The Mukai pairing. I: A categorical approach
• A generalized Hirzebruch Riemann-Roch theorem
• A differential complex for Poisson manifolds
• Higher algebraic \(K\)-theory of admissible abelian categories and localization theorems
• On the cyclic homology of ringed spaces and schemes
• Cyclic homology in non-commutative geometry
• Riemann-Roch theorems via deformation quantization. I
• Riemann-Roch theorems via deformation quantization. II
• The Mukai pairing and integral transforms in Hochschild homology
• Infinitesimal Derived Torelli Theorem for K3 Surfaces (with an Appendix by Sukhendu Mehrotra)
• THE BIG CHERN CLASSES AND THE CHERN CHARACTER
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• A Riemann-Roch-Hirzebruch formula for traces of differential operators
• The Continuous Hochschild Cochain Complex of a Scheme
• On the De Rham cohomology of algebraic varieties

This page was built for publication: A variant of the Mukai pairing via deformation quantization