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 ndimensional complex vector space to the cocycles on the Lie algebra of holomorphic differential operators on a holomorphic line bundle λ on an ndimensional 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 



1016443X
 
Volume/pages 



11:5(2001), p. 10961124
 
ISI 



000173166500007
 
Full text (Publisher's DOI) 


  
Full text (publisher's version  intranet only) 


  
