|
Title
|
|
|
|
Integration of the lifting formulas and the cyclic homology of the algebras of differential operators
|
|
|
Author
|
|
|
|
|
|
|
Abstract
|
|
|
|
| We integrate the Lifting cocycles Ψ2n+1,Ψ2n+3,Ψ2n+5,([Sh1,2]) 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 λ on an n-dimensional complex manifold M in the sense of GelfandFuks 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 FeiginTsygan theorem [FT1]:¶¶ H∙Lie(glfin∞(Difn);C)=∧∙(Ψ2n+1,Ψ2n+3,Ψ2n+5,) . |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Geometric and functional analysis. - Basel
|
|
|
Publication
|
|
|
|
Basel
:
2001
|
|
|
ISSN
|
|
|
|
1016-443X
|
|
|
DOI
|
|
|
|
10.1007/S00039-001-8225-5
|
|
|
Volume/pages
|
|
|
|
11
:5
(2001)
, p. 1096-1124
|
|
|
ISI
|
|
|
|
000173166500007
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (publisher's version - intranet only)
|
|
|
|
|
|