Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integration of the Lifting formulas and the cyclic homology of the
  algebras of differential operators   We integrate the Lifting cocycles $\Psi_{2n+1},\Psi_{2n+3},\Psi_{2n+5},...$
([Sh1], [Sh2]) on the Lie algebra $\Dif_n$ of holomorphic differential
operators on an $n$-dimensional complex vector space to the cocycles on the Lie
algebra of holomorphic differential operators on a holomorphic line bundle
$\lambda$ on an $n$-dimensional complex manifold $M$ in the sense of
Gelfand-Fuks cohomology [GF] (more precisely, we integrate the cocycles on the
sheaves of the Lie algebras of finite matrices over the corresponding
associative algebras). The main result is the following explicit form of the
Feigin-Tsygan theorem [FT1]:
  $H^\bullet_\Lie(\gl^\fin_\infty(\Dif_n);\C) = \wedge^\bullet(\Psi_{2n+1},
\Psi_{2n+3},\Psi_{2n+5}, ...)$.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an