Publication
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
Volume/pages
11:5(2001), p. 1096-1124
ISI
000173166500007
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
 Faculty/Department [E?say:metaLocaldata.cgzprojectinf] Publication type Subject