Residues and homology for pseudodifferential operators on foliations

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dc.creatorBenameur, Moulay-Tahar
dc.creatorNistor, Victor
dc.date2002-04-16
dc.date.accessioned2026-07-07T04:47:44Z
dc.date.available2026-07-07T04:47:44Z
dc.descriptionWe study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold $(M,F)$. The first step is to relate these groups to the Poisson homology of $(M,F)$ and of other related foliated manifolds. We then establish several general properties of the Poisson homology groups of foliated manifolds. As an example, we completely determine these Hochschild homology groups for the algebra of complete symbols on the irrational slope foliation of a torus (under some diophantine approximation assumptions). We also use our calculations to determine all residue traces on algebras of pseudodifferential operators along the leaves of a foliation.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0204205
dc.identifierhttp://arxiv.org/abs/math/0204205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63833
dc.subjectK-Theory and Homology
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject18G60
dc.titleResidues and homology for pseudodifferential operators on foliations
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