Homology of Pseudodifferential Operators I. Manifolds with Boundary Richard Melrose and Victor Nistor

@inproceedings{NISTORVersion1996HomologyOP,
  title={Homology of Pseudodifferential Operators I. Manifolds with Boundary Richard Melrose and Victor Nistor},
  author={VICTOR NISTORVersion},
  year={1996}
}
  • VICTOR NISTORVersion
  • Published 1996
The Hochschild and cyclic homology groups are computed for the algebra of ‘cusp’ pseudodifferential operators on any compact manifold with boundary. The index functional for this algebra is interpreted as a Hochschild 1-cocycle and evaluated in terms of extensions of the trace functionals on the two natural ideals, corresponding to the two filtrations by interior order and vanishing degree at the boundary, together with the exterior derivations of the algebra. This leads to an index formula… CONTINUE READING
Highly Cited
This paper has 20 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

A differential complex for Poisson manifolds

J.-L. Brylinski
J. Diff. Geom. • 1988
View 4 Excerpts
Highly Influenced

Local invariants of spectral assymetry

M. Wodzicki
Invent. Math. 75 • 1984
View 6 Excerpts
Highly Influenced

Formal deformations of symplectic manifolds with boundary

R. Nest, B. Tsygan
Preprint • 1995

On the index of elliptic operators on manifolds with boundary

P. Piazza
J. Funct. Anal. 117 • 1993
View 1 Excerpt

The Hodge cohomology of maximally euclidean cusp manifolds

B. Livingston
Ph.D. thesis • 1988
View 1 Excerpt

Similar Papers

Loading similar papers…