The homology of algebras of pseudo-differential symbols and the noncommutative residue
From MaRDI portal
Publication:1103930
DOI10.1007/BF00539624zbMath0646.58026OpenAlexW2011038505MaRDI QIDQ1103930
Ezra Getzler, Jean-Luc Brylinski
Publication date: 1987
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00539624
Pseudodifferential and Fourier integral operators on manifolds (58J40) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)
Related Items (25)
Homology of pseudo-differential operators on manifolds with fibered boundaries ⋮ Modules over deformation quantization algebroids: An overview ⋮ Uniqueness of multiplicative determinants on elliptic pseudodifferential operators ⋮ Homology of pseudodifferential operators on manifolds with fibered cusps ⋮ Cyclic homology of enveloping algebras ⋮ Classification of traces and hypertraces on spaces of classical pseudodifferential operators ⋮ Central localization in Hochschild homology ⋮ An equivariant noncommutative residue ⋮ Non-commutative residues for anisotropic pseudo-differential operators in \(\mathbb R^n\) ⋮ Homology of algebras of families of pseudodifferential operators. ⋮ The multiplicative anomaly for determinants revisited; locality ⋮ Hochschild and cyclic homology of quantum groups ⋮ Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras ⋮ Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue ⋮ Homology of primitive quotients of the universal enveloping algebra of \({\mathfrak sl}(2)\) ⋮ FREDHOLM THEORY FOR DEGENERATE PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBERED BOUNDARIES ⋮ Integration over complex manifolds via Hochschild homology ⋮ Microlocal Euler classes and Hochschild homology ⋮ Riemann–Roch for Real Varieties ⋮ Unnamed Item ⋮ The center of the categorified ring of differential operators ⋮ Equivariant Lefschetz number of differential operators ⋮ Homology of formal deformations of proper étale Lie groupoids ⋮ Lie algebras of differential operators, their central extensions, and W- algebras ⋮ Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local invariants of spectral asymmetry
- Cohomologies of Lie algebras of generalized Jacobi matrices
- Star-products on cotangent bundles
- Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
- Cyclic homology and the Lie algebra homology of matrices
- Non-commutative differential geometry
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- On the heat equation and the index theorem
- Sur les théorèmes de de Rham
- Differential Forms On Regular Affine Algebras
- On the De Rham cohomology of algebraic varieties
This page was built for publication: The homology of algebras of pseudo-differential symbols and the noncommutative residue
