Cyclic homology of differential operators

DOI10.1215/S0012-7094-87-05426-3zbMath0635.18010OpenAlexW1996508305MaRDI QIDQ1097344

Mariusz Wodzicki

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05426-3

zbMATH Keywords

spectral sequencede Rham cohomologyStein manifoldcyclic homologydifferential operatoralgebra of differential operatorsConnes sequence

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) de Rham theory in global analysis (58A12) de Rham cohomology and algebraic geometry (14F40) Other homology theories in algebraic topology (55N35)

Related Items (17)

Uniqueness of multiplicative determinants on elliptic pseudodifferential operators ⋮ Homology of pseudodifferential operators on manifolds with fibered cusps ⋮ Cyclic homology of enveloping algebras ⋮ Poisson-Lie group of pseudodifferential symbols ⋮ Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations ⋮ Symmetry algebras of the potential Nizhnik–Novikov–Veselov model ⋮ Categorical cell decomposition of quantized symplectic algebraic varieties ⋮ Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue ⋮ Homology of primitive quotients of the universal enveloping algebra of \({\mathfrak sl}(2)\) ⋮ The logarithm of the derivative operator and higher spin algebras of \(W_{\infty{}}\) type ⋮ Riemann–Roch for Real Varieties ⋮ Traces on pseudodifferential operators and sums of commutators ⋮ Unnamed Item ⋮ Recent developments on noncommutative motives ⋮ (Co)bordism groups in quantum super PDE's. I: Quantum supermanifolds ⋮ Bivariant cyclic theory ⋮ Homologie de hochschild des deformations quadratiques d’algebres de polynomes

Cites Work

• Homology and cohomology for topological algebras
• Cohomologies of Lie algebras of generalized Jacobi matrices
• Cyclic homology and the Lie algebra homology of matrices
• A differential complex for Poisson manifolds
• Differential Forms On Regular Affine Algebras
• Homological methods in Taylor's holomorphic calculus of several operators in a Banach space
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