Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homology of algebras of families of pseudodifferential operators   We compute the Hochschild, cyclic, and periodic cyclic homology groups of
algebras of families of Laurent complete symbols on manifolds with corners. We
show in particular that the spectral sequence associated with Hochschild
homology degenerates at $E^2$ and converges to Hochschild homology. As a
byproduct, we deduce an identification of the space of residue traces on
fibrations by manifolds with corners. In the process, we prove several general
results about algebras of complete symbols on manifolds with corners.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph