Riemann-Roch theorems via deformation quantization. II

DOI10.1006/aima.2000.1978zbMath1021.53065OpenAlexW2050015327MaRDI QIDQ1604334

Boris Tsygan, Ryszard Nest, Paul Bressler

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/aima.2000.1978

zbMATH Keywords

deformation quantizationRiemann-Roch theorem

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Sheaves of differential operators and their modules, (D)-modules (32C38) Deformation quantization, star products (53D55) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (4)

Geometry of localized effective theories, exact semi-classical approximation and the algebraic index ⋮ Chern classes of quantizable coisotropic bundles ⋮ A variant of the Mukai pairing via deformation quantization ⋮ EQUIVARIANT ALGEBRAIC INDEX THEOREM

Cites Work

• Cohomologies of Lie algebras of generalized Jacobi matrices
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• Cyclic homology and the Lie algebra homology of matrices
• Some algebraic properties of cyclic homology groups
• Closed star products and cyclic cohomology
• Deformation theory and quantization. II: Physical applications
• Riemann-Roch theorems via deformation quantization. I
• Algebraic index theorem for families
• Algebraic index theorem
• Deformations of the algebra of functions of a symplectic manifold. Comparison between Fedosov and de Wilde, Lecomte
• Derivations, semidirect products and reduced cyclic cohomology.
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