|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients | | B. Rangipour
; S. Sütlü
; F. Yazdani Aliabadi
; | | Date: |
22 May 2017 | | Abstract: | We show that the space $Omega_n^{leq 1}$ of formal differential
$leq1$-forms on $mathbb{R}^n$ has an (induced) SAYD module structure on the
Connes-Moscovici Hopf algebra $mathcal{H}_n$. We thus identify the Hopf-cyclic
cohomology $mathcal{H}_n$ with coefficients in formal differential forms with
the Gelfand-Fuks cohomology of the Lie algebra $W_n$ of formal vector fields on
$mathbb{R}^n$. Furthermore, we introduce a multiplicative structure on the
Hopf-cyclic bicomplex, and we show that this van Est type isomorphism is
multiplicative. We finally illustrate the whole machinery in the case $n=1$; by
pulling back the multiplicative generators of $H^ast(W_1,Omega_1^{leq1})$ to
$HC^ast(mathcal{H}_1,Omega_{1delta}^{leq1})$. | | Source: | arXiv, 1705.7651 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER